Question

Find the area of the smaller sector.

Answer 1

Answer: 22.2 ft^2

Step-by-Step Solution:

Radius (r) = 7.13 ft
Angle (θ) = 50°

Area of a Sector = θ/360 * πr^2

Therefore,
= θ/360 * πr^2
= θ/360 * π * r * r
= 50/360 * 3.14 * 7.13 * 7.13
= 50/360 * 3.14 * 50.8369
= 5/36 * 159.63
= 798.15/36
= 22.17
=> 22.2

Area of the Sector = 22.2 ft^2

Answer 2

Answer:

A ≈ 22.2 ft²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × $\frac{50}{360}$

   = π × 7.13² × $\frac{5}{36}$

    = 50.8369π × $\frac{5}{36}$

    ≈ 22.2 ft² ( to the nearest tenth )