Question

A \greenD{3\,\text{cm} \times 10\,\text{cm}}3cm×10cmstart color #1fab54, 3, start text, c, m, end text, times, 10, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{12\,\text{cm}}12cmstart color #11accd, 12, start text, c, m, end text, end color #11accd.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answer 1

Answer:

422.39

Step-by-step explanation:

circle area with

π r²

π*12*12 = 452.389342117

Minus area of the rectangle

452.389342117 - 3 * 10

= 422.389342117

rounded to the nearest hundredth:

422.39

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Answer 2

The area of the shaded region rounded to the nearest hundredth would be 422.39.

How to find the area of a circle?

Suppose the circle has a radius of 'r' units, then, its area is given as:

$A = \pi \times r^2$ sq. units

Since the radius of a circle is half of its diameter, so if the diameter is of 'd' length, then r= d/2, thus, the area can be rewritten as:

$\pi \times (\dfrac{d}{2})^2$ sq. units

The area of the circle = π r²

$\pi \times12\times12\\ \\3.14 \times12\times12\\= 452.389342117$

The difference between the area of the rectangle from the area of the circle will give the shaded region.

= 452.38 - 3 x 10

= 422.389342117

rounded to the nearest hundredth:

422.39

Learn more about the area of a circle here:

https://brainly.com/question/13004063

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