AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

The measure of an arc of a circle isand its length is. What is the diameter of the circle?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

21cm

7cm

14cm

28cm

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The arc angle of a circle is

.
The length is given as

.
The length is equal to the circumference of the circle.

The formula to find the circumference of the circle is equal to the pi times diameter and the ratio of arc angle and

.The formula for diameter is equal to twice the radius. Since, we know that the formula for circumference of a circle is,

Substituting the values of arc angle and circumference of the circle we obtain,

Now, we will substitute the value of circumference of the circle in the above equation.
Question Image

On further solving the above value we will get the diameter of the circle which is,

The diameter of the circle is approximately equal to

Therefore, the diameter of the circle for the given problem is

.
Hence the correct
Ans: is Option 3.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!