Question

Find the area of the shaded sector to the nearest hundredth.

please help me!

Answer 1

a

Sty-step explanation:

itggres i thinlks 12

Answer 2

Since the radius of this circle is 8 inches, the area of a sector bounded by a 255° arc is 142.35 square inches.

In Mathematics and Geometry, the area of a sector can be calculated by using the following formula:

Area of sector = π
`r^2` × θ/360

Where:

• r represents the radius of a circle.
• θ represents the central angle.

Note: The measure of an intercepted arc is equal to the central angle of a circle.

θ = 360 - 105

θ = 255°

By substituting the given parameters into the area of a sector formula, we have the following;

Area of sector = π
`r^2` × θ/360

Area of sector = 3.14 ×
`8^2` × 255/360

Area of sector = 3.14 × 64 × 17/24

Area of sector = 3.14 × 8/3 × 17

Area of sector = 142.3467 ≈ 142.35 square inches.