Question

The area of the sector of a circle with the radius of 8 cm is 125.6 sq cm the estimate value 3.14 what is the angle of the sector

Answer 1

To find the angle of the sector, use the formula A = (θ/360) × π × r². Plugging in the given values, we can solve for θ and find that it is approximately 570.91 degrees.

Step-by-step explanation:

To find the angle of the sector, we need to use the formula for the area of a sector:

A = (θ/360) × π × r²

Plugging in the values given:

125.6 = (θ/360) × 3.14 × 8²

Simplifying the equation:

125.6 = 0.022 × θ

Dividing both sides by 0.022:

θ = 125.6 ÷ 0.022

θ ≈ 570.91 degrees

Answer 2

The area of the sector of a circle with a radius of 8 centimeters is 125.6 square centimeters. The estimated value of is 3.14. ... First find the area of the entire circleA=3.14*82=200.96 cm2 this is the area for 360o or entire circle. The area of the sector represents anangle less then 360 and is simply the ratio of ...