Question

Fond the area of the shaded sector of circle C to the nearest tenth

Answer 1

Solution

Step 1

Write an expression for the area of sector

$Area\text{ (A) = }\frac{\theta}{360}\times\pi\times r^2$

Where

θ = 52°

π = 3.14

r = 8cm

Step 2

Find the area of the sector after substitution of values into the formula above.

$\begin{gathered} A\text{ =}\frac{52}{360}\times3.14\times8^2 \\ A=29.028cm^2 \end{gathered}$

To the nearest tenth the area of the shaded sector of circle C = 29.0cm²