Answer :
Solution
Step 1
Write an expression for the area of sector
[tex]Area\text{ (A) = }\frac{\theta}{360}\times\pi\times r^2[/tex]Where
θ = 52°
π = 3.14
r = 8cm
Step 2
Find the area of the sector after substitution of values into the formula above.
[tex]\begin{gathered} A\text{ =}\frac{52}{360}\times3.14\times8^2 \\ A=29.028cm^2 \end{gathered}[/tex]To the nearest tenth the area of the shaded sector of circle C = 29.0cm²