Question

What is the area of sector GHJ , given that θ=pi/4 radians ? Express your answer in terms of π and as a decimal rounded to the nearest tenth. Show your work.

Answer 1

Radius of circle = r = 5 cm
Angle made by the arc = Ф = π/4 radians
Area of sector = A = ?

The formula for the area of a sector is:

A = 0.5r²Ф

Using the values, we get:

A = 0.5 x (5)² x π/4
A = 3.125π cm²

Rounded of to nearest tenth, the area of the sector GHJ is 3.1π cm²