Question

A circular sector has a central angle of π8 radians and a radius of 4 m.

What is the area of the sector?



Use 3. 14 for pi. Round your answer to the nearest tenth.



Enter your answer in the box.



area =____m2

Answer 1

The area of the sector is approximately 3.1 square meters.

Explanation:

The area of a circular sector is given by the formula A = (θ/2)R^2, where θ is the central angle in radians and R is the radius of the sector.

Plugging in the given values, we get:

A = (π/8)(4)^2/2

A ≈ 3.1 m^2

Therefore, the area of the sector is approximately 3.1 square meters.