Question

The radius of a circle is 2 meters. What is the area of a sector bounded by a 135 degree arc? Give the exact answer in simplest form

Answer 1

Answer:

Area of circle bounded by a 135 ° arc is 4.71 m ²

Step-by-step explanation:

Given that :-

Radius of circle, r = 2 m

Angle of the circle , θ = 135 °

To Find :-

Area of circle bounded by a 135 ° arc.

Solution :-

Using Formula

Area of circle = θ/ 360 × π × r ²

substitute the values,

Area of circle = 135 /360 × 3.14 × ( 2 m) ²

solve it

Area = 27 / 72 × 3.14 × 4 m ²

Area = 27 / 18 × 3.14

Area = 1.5 × 3.14

Area = 4.71 m ²

Therefore, Area of circle bounded by a 135 ° arc is 4.71 m ²