Question

(G.lld, 1 point) Given: Circle P. Which is closest to the area of the shaded sector of circle P? Round to the nearest whole number. 12 ft 1300 o A. 11 cm2 O B. 163 cm2 o c. 50 cm2 o D. 28 cm2

Answer 1

Area of shaded sector is 163 cm²

The area of the shaded portion can be obtained using the formula for area of a sector ;

• Area = θ/360 × π × r²
• r = radius = 12
• θ = 130

Substituting into.the formula ;

Area = (130/360) × 3.14 × 12²

Area = 163.279 cm²

To the nearest whole number, Area of shaded sector is 163 cm²

Answer 2

Step-by-step explanation:

radius = 12ft

angle θ= 130°

The formula for a area of a sector given an angle:

`Area=(\theta)/(360)*\pi\text{ }* r^2`
`\begin{gathered} \text{Area = }(130)/(360)*\pi*12^2 \\ \text{let }\pi\text{ = 3.14} \end{gathered}`