Question

An arc of a circle is 6cm.it is subtendes an anglel of 72 at the center of the circle.Find the radius of the circle.

Answer 1

Answer:

4.77 cm

Step-by-step explanation:

Hey mate, here is your answer

Let the radius of the circle be 'r'

Then,

2$\pi$r (72/360) = 6

72/360 can be written as 1/5

2$\pi$r = 30

r = 15/$\pi$

r = 15 * 7/22

r = 4.77 cm (approx)

Answer 2

Answer:

RADIUS OF THE CIRCLE IS 4.77cm(approx.)

Step-by-step explanation:

PARAMETERS GIVEN,

ARC LENGTH OF SECTOR = 6cm

CENTRAL ANGLE = 72°

SO,

A.T.Q.,

ARC LENGTH = (Θ/360°)*2πr

6cm = (72/360)*2*(22/7)*r

r = (6*360*7)/(72*2*22)cm

 = 4.77cm(approx.)

SO,

RADIUS OF THE CIRCLE IS 4.77cm(approx.)

I HOPE YOU UNDERSTOOD THE QUESTION!!!

                              !!!JAI SHREE KRISHNA!!!