Question

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What is the approximate area of a sector given Θ≈212 with a radius of 45 m?

Question 1 options:

2613.59 m²


3744.45 m²


3371.26 m²


2928.36 m

Answer 1

`3,744.45\ m^(2)`

Explanation:

we know that

The area of a sector is equal to

`A=(\theta)/(360\°)\pi r^(2)`

where

`\theta` ------> is the angle in degrees

r is the radius of the circle

In this problem we have

`r=45\ m`

`\theta=212\°`

assume

`\pi =3.14`

substitute the values

`A=(212\°)/(360\°)(3.14)(45)^(2)`

`A=3,744.45\ m^(2)`