Question

The circumference of a circle is equal to 88 cm. Find the circumference of a quarter-circle with the same radius.

• A. 44 cm
• B. 22 cm
• C. 28 cm
• D. 50 cm

Answer 1

Answer: (B), (D)

The correct options are
B

22 cm

D

50 cm

The circumference of a circle with radius r is equal to 2$\pi$ r units.

According to question,

C = 2$\pi$r = 88 cm

Putting $\pi$ = $\frac{22}{7}$, we get

r = $\frac{(88\times 7)}{(22\times 2)}$ = 14 cm

Circumference of the quarter circle = $\left(\frac{C}{4}\right)$ + 2r = $\left(\frac{88}{4}\right)$ + 2 $\times$ 14 = (22+28) cm = 50cm