Respuesta :

smmwaite

Answer

161.06


Explanation

We can get the area of the shaded part by using the formula;

Area = θ/360 πr²

Where θ ⇒ subtended angle

π = 3.142

r ⇒ radius

First 1.25 radians in to degrees.

π radians= 180°

1.25 radians = (180×1.25)/π

= 71.62°

The angle on the shaded part is 360 - 71.62 = 288.38°

Area = (288.38/360)×π×8²

= 0.8 ×3.142 × 64

= 161.06


akposevictor

The area of the sector of the given circle is: 40 units²

What is the Area of a Sector in a Circle?

In a circle, the area of a sector is calculated using the formula, area of sector = (1/2) × r²θ.

Given the following:

  • r = 8
  • θ = 1.25 radians

Area of sector = (1/2) × r²θ = (1/2) × (8²)(1.25)

Area of sector = 40 units²

Learn more about the area of sector on:

https://brainly.com/question/22972014