Find the area of the sector of the sector in bold. Round your answer to the nearest tenth.

Circle with bolded area. Radius=3 m, inside angle=150 degrees

Find the area of the sector of the sector in bold. Round your answer to the nearest tenth.

Circle with bolded area. Radius=3 m, inside angle=150 degrees

3.9 m²

7.9 m²

11.8 m²

28.26m²

1 answer

To find the area of the sector, you can use the formula:

Area of sector = (θ/360) x πr^2

where θ is the angle in degrees, r is the radius of the circle.

Plugging in the values given:

Area of sector = (150/360) x π x (3)^2
Area of sector = (5/12) x π x 9
Area of sector = (5/4) x π
Area of sector ≈ 3.9 m²

Therefore, the area of the sector with a radius of 3 m and an inside angle of 150 degrees is approximately 3.9 m².