Question

What is the area of the sector shown in the diagram below?

8 cm
40*
C
A. 89.4 cm2
B. 5.6 cm2
C. 25.1 cm2
D. 22.3 cm2

Answer 1

the answer for this C.

Explanation:

are

`area \: of \: a \: sector \: is \: (teter)/(360) * \pi {r}^2 \:`

`therefore \: it \: is \: equal \: to \: (40)/(360) * (22)/(7) * 8 * 8 \\ = (40)/(360) * (22)/(7) * 64`

`you \: then \: cancel \: 360 \: by \: 40. \\ that \: is \: (1)/(9) * (22)/(7) * 64 \\ (1408)/(63) \\ = 22.3.`