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

Answer:

the answer for this C.

Step-by-step explanation:

are

$area \: of \: a \: sector \: is \: \frac{teter}{360} \times \pi {r}^2 \:$

$therefore \: it \: is \: equal \: to \: \frac{40}{360} \times \frac{22}{7} \times 8 \times 8 \\ = \frac{40}{360} \times \frac{22}{7} \times 64$

$you \: then \: cancel \: 360 \: by \: 40. \\ that \: is \: \frac{1}{9} \times \frac{22}{7} \times 64 \\ \frac{1408}{63} \\ = 22.3.$