Question

Find the areas of a sector if the central angle

measures105o and the radius of the circle is 4.2
meters.
a. 7.7 sq meters
b. 16.2 sq meters
c. 32.3 sq meters
d. 926.1 sq meters
is the answer c.

Answer 1

Area of the sector is 16.2 square meters

Explanation:

the angle measures 105 and radius of circle is 4.2

The area of the sector formula is

`(angle)/(360) \cdot \pi r^2`

replace angle with 105 and radius by 4.2

Area of the sector =
`(105)/(360) \cdot \pi 4.2^2`

= 16.1634942

Area of the sector is 16.2 square meters