sat Math assist » Geometry » airplane Geometry » circles » Clock math » how to find the edge of clock hand     Explanation:

At four o’clock the minute hand is on the 12 and also the hour hand is on the 4. The angle formed is 4/12 the the total number of degrees in a circle, 360.

You are watching: Find the measure of the smaller angle formed by the hands of a clock

4/12 * 360 = 120 degrees

Explanation:

A clock is a circle, and a circle always contains 360 degrees. Due to the fact that there space 60 minute on a clock, each minute mark is 6 degrees. The minute hand ~ above the clock will allude at 15 minutes, enabling us to calculation it"s position on the circle. Since there room 12 hrs on the clock, every hour note is 30 degrees. We deserve to calculate where the hour hand will certainly be in ~ 8:00. However, the hour hand will actually it is in between the 8 and also the 9, since we room looking in ~ 8:15 quite than an pure hour mark. 15 minutes is equal to one-fourth of an hour. Usage the same equation to discover the extr position that the hour hand.   We are searching for the angle between the 2 hands the the clock. The will certainly be same to the difference in between the 2 angle measures. Report one Error

### Example inquiry #1 : exactly how To uncover The edge Of Clock hand

What is the measure up of the smaller angle formed by the hand of one analog clock if the hour hand is ~ above the 10 and also the minute hand is on the 2?

90°

56°

45°

120°

30°

120°

Explanation:

A analog clock is divided up into 12 sectors, based on the numbers 1–12. One sector represents 30 levels (360/12 = 30). If the hour hand is straight on the 10, and also the minute hand is top top the 2, that means there space 4 sectors of 30 degrees in between then, hence they are 120 levels apart (30 * 4 = 120).

Report one Error

### Example concern #2 : how To discover The edge Of Clock hands

At , what edge is in between the hour and also minute hand top top a clock? Explanation:

At , the hour hand is top top the and the minute hand is at the . There space spaces ~ above a clock, and these hands space separated through spaces.

Thus, the angle between them is the levels of the entire clcok, i m sorry is .

Therefore, we multiply this to get our answer. We deserve to cancel out together we multiply to get: Report an Error

### Example inquiry #1 : just how To uncover The angle Of Clock hand

What is the measure, in degrees, of the acute angle developed by the hand of a 12-hour clock the reads precisely 3:10?

72°

55°

65°

35°

60°

35°

Explanation:

The whole clock procedures 360°. Together the clock is separated into 12 sections, the distance between each number is equivalent to 30° (360/12). The distance between the 2 and the 3 on the clock is 30°. One has to account, however, for the 10 minute that have passed. 10 minute is 1/6 of one hour for this reason the hour hand has likewise moved 1/6 that the distance in between the 3 and the 4, which add to 5° (1/6 that 30°). The complete measure the the angle, therefore, is 35°.

Report an Error

### Example inquiry #3 : how To uncover The edge Of Clock hands

If that is 4:00, what is the measure of the angle between the minute and also hour hands of the clock?

100 degrees

125 degrees

90 degrees

120 degrees

45 degrees

120 degrees

Explanation:

A clock takes the shape of a circle, i beg your pardon is composed of 360 degrees. There are 12 numbers on a clock that represent the hours. Through this in mind, we deserve to say the each number to represent an angle. The measure of the angle in between each number is given by .

See more: What Size Shoes Does Wiz Khalifa Wear In Shoe? What Size Do Wiz Khalifa Wear In Shoe

If the is 4:00, climate the minute hand is pointing in the direction of 12 if the hour hand points in the direction of 4.

Therefore, we can say the the angle between the two hands is degrees.

Another way to think the this is come imagine the clock at a surrounding time. In ~ 3:00, the hand of the clock form a right angle of 90 degrees. Since we understand that each number top top the clock is be separated by 30 degrees, we deserve to simply add 30 to 90 degrees and also get 120 levels for the edge at 4:00.

Report one Error

### Example inquiry #4 : just how To discover The angle Of Clock hands

If it is 2:00 PM, what is the measure up of the angle between the minute and hour hands of the clock?

90 degrees

60 degrees

30 degrees

45 degrees

120 degrees

60 degrees

Explanation:

First note that a clock is a circle made of 360 degrees, and also that each number represents an angle and the separation in between them is 360/12 = 30. And at 2:00, the minute hand is on the 12 and the hour hand is ~ above the 2. The correct answer is 2 * 30 = 60 degrees.

Report an Error
watch SAT mathematics Tutors
Nick Certified guardian
Kalamazoo College, Bachelors, Chemistry. University of Michigan-Ann Arbor, Masters, inorganic Chemistry.
see SAT mathematics Tutors
Daniel Certified guardian
Arizona State University, Bachelor that Science, Psychology.
view SAT mathematics Tutors
Matthew Certified tutor
William and Mary, Bachelors, Psychology and Philosophy twin Major.

### All satellite Math resources

16 Diagnostic tests 660 exercise Tests inquiry of the job Flashcards find out by principle
SAT math Tutoring in optimal Cities:
Atlanta satellite Math Tutoring, Austin satellite Math Tutoring, Boston satellite Math Tutoring, Chicago sat Math Tutoring, Dallas fort Worth sat Math Tutoring, Denver satellite Math Tutoring, Houston satellite Math Tutoring, Kansas City satellite Math Tutoring, Los Angeles sat Math Tutoring, Miami sat Math Tutoring, brand-new York City satellite Math Tutoring, Philadelphia sat Math Tutoring, Phoenix satellite Math Tutoring, san Diego satellite Math Tutoring, san Francisco-Bay Area sat Math Tutoring, Seattle sat Math Tutoring, St. Louis sat Math Tutoring, Tucson satellite Math Tutoring, Washington DC sat Math Tutoring
SAT math Tutors in optimal Cities:
Atlanta sat Math Tutors, Austin satellite Math Tutors, Boston sat Math Tutors, Chicago sat Math Tutors, Dallas ft Worth sat Math Tutors, Denver sat Math Tutors, Houston sat Math Tutors, Kansas City satellite Math Tutors, Los Angeles sat Math Tutors, Miami sat Math Tutors, new York City sat Math Tutors, Philadelphia satellite Math Tutors, Phoenix satellite Math Tutors, mountain Diego satellite Math Tutors, san Francisco-Bay Area satellite Math Tutors, Seattle satellite Math Tutors, St. Louis satellite Math Tutors, Tucson sat Math Tutors, Washington DC satellite Math Tutors
Popular process & Classes
GRE courses & class in Phoenix, MCAT courses & great in Houston, MCAT process & class in Atlanta, ACT process & great in Seattle, GRE process & classes in Boston, SAT process & great in new York City, GRE courses & great in Atlanta, ISEE courses & great in san Francisco-Bay Area, ACT process & class in Miami, GMAT process & classes in Los Angeles
Popular test Prep
SSAT check Prep in Denver, MCAT test Prep in Atlanta, LSAT test Prep in Phoenix, MCAT check Prep in new York City, satellite Test prepare in Boston, MCAT test Prep in Houston, GMAT check Prep in Los Angeles, GRE check Prep in Dallas ft Worth, ISEE check Prep in Washington DC, GRE check Prep in Boston
Report an problem with this concern

If you"ve found an problem with this question, you re welcome let us know. Through the aid of the community we can continue to enhance our education resources.

Do no fill in this field