1

Problem

An arc length in a circle is 10 cm, and the central angle corresponding to the arc is 60 degrees. Find the radius of the circle.

2

Step

The given values are

s = 10 cm and θ = 60°

3

Formula

The arc length and the central angle: \$r = (s/θ) \times (180°)/π\$.

4

Step

Substituting the given values into the formula and solve for r:

\$r = (10)/(\cancel 60°^1) \times (\cancel 180°^3)/π)\$

\$r = 10 \times 3/π)\$

5

Step

After simplification the r value is:

\$r = (30)/π\$

r = 9.55 cm

6

Solution

Therefore, the radius of the circle is 9.55 cm.

7

Sumup

Please summarize steps

Choices

8

Choice-A

This option is incorrect because it is not the closest to the calculated result involving π

Wrong 9.45 cm

9

Choice-B

This option is correct as it closely matches the computed value for the radius

Correct 9.55 cm

10

Choice-C

This option is incorrect, as it is not closest to the computed result involving π

Wrong 9.64 cm

11

Choice-D

This option is incorrect because it is not closest to the computed result involving π

Wrong 9.59 cm

12

Answer

Option

B

13

Sumup

Please summarize choices