Question

A circle with a diameter of 10 cm and a central angle of 30° is drawn below.

what is the area, to the nearest tenth of a square centimeter, of the sector formed by the 30° angle?

(A) 5.2 (B) 6.5 (C) 13.1 (D) 26.2​

Answer 1

Answer:

B 6.5

Step-by-step explanation:

The area of a whole circle is

a = $\pi$$r^{2}$  A whole circle is 360 degrees.  We only have part of a circle.  We were also given the diameter and we need the radius.  The radius is half of the diameter.

a = $\frac{30}{360} \pi 5^{2}$

a= 6.5 rounded.