find the area of a sector contained within a circle whose diameter is 20 ft and has a central angle of 78 degree
The radius of the circle is half of the diameter, so it is 10 ft.
The formula for the area of a sector is:
Area of sector = (central angle/360) x πr^2
Plugging in the numbers:
Area of sector = (78/360) x π(10^2)
Area of sector = (0.2167) x 100π
Area of sector = 21.67π
Using a calculator to approximate π as 3.14:
Area of sector ≈ 68.04 square feet
Therefore, the area of the sector is approximately 68.04 square feet.