ind the area of the shaded region. Round to 2

Cassidy Johnson

Cassidy Johnson

Answered question

2022-02-13

ind the area of the shaded region. Round to 2 decimal places.

Answer & Explanation

Kaylie Carroll

Kaylie Carroll

Beginner2022-02-14Added 12 answers

Step 1
Given, two concentric circles.
Let the radius of the outer circle
=r1=25cm
and the radius of the inner circle
=r2=15cm
The task is to find the area of the region between these two circles.
Step 2
Find the areas of the two circles and subtract it to get the area of the shaded region.
The area of the outer circle
=2π(r1)2cm2
=2π(25)2cm2
=1250πcm2
The area of the inner circle
=2π(r2)2cm2
=2π(15)2cm2
=450πcm2
The required area
=(2πr12πr2)cm2
=2π(1250450)cm2
=800πcm2
2513.27cm2 Therefore, the shaded area is 2513.27cm2.

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