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38 votes
38 votes
I need help with this question I’m always off by a few points

I need help with this question I’m always off by a few points-example-1
User Moishe
by
3.2k points

1 Answer

14 votes
14 votes

Given:

Radius of circle, r = 2 cm

Central angle, θ = 140 degrees

Let's find the area of the shaded region.

To find the area of the shaded region apply the formula:


A=(\theta)/(360)*\pi r^2

Where:

θ is the central angle = 140 degrees

r is the radius = 2 cm

Thus, we have:


\begin{gathered} A=(140)/(360)*\pi *2^2 \\ \\ A=0.389*\pi *4 \\ \\ A=1.6\pi\text{ cm}^2 \end{gathered}

Therefore, the area of the shaded region in terms of π is 1.6π cm².

ANSWER:

1.6π cm²

User Brgs
by
3.0k points
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