The central angle of an arc measures 75°. The diameter of the circle measures 6 meters. What is the area of the sector to the nearest tenth of a square meter?

The area of the sector is 5.89 m²

Explanation:

Given:

Central angle of the arc, α = 75°

Diameter of the circle, d = 6 m

Radius of the circle, r = 3m

Area of the sector, A = ?

We know:

On substituting the value we get:

Therefore, the area of the sector is 5.89 m²

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step-by-step explanation: 6870

1857 times .63 equals 1169.91 subtract that from 1857 you get 687.09

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