MATHEMATICS HIGH SCHOOL

A circle has its center at the center of a square with 12-inch sides. Using 3.14 for pi, find the area of the square not covered by the circle, then write a ratio of the circle?s circumference to the perimeter of the square.

Answers

Answer 1
Answer:

The area of the square notinside the circle is 30.96 in².

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

Square:

Side = 12 in

Area = 12²

Area = 12 x 12 = 144 in²

Circle:

Since the circle is inside the square.

Radius = 12/2 = 6 in

Area = πr² = 3.14 x 6 x 6 = 113.04 in²

Now,

The area of the square not inside the circle.

= Area of the square - Area of the circle

= 144 - 113.04

= 30.96 in²

Thus,

The area of the square notinside the circle is 30.96 in².

Learn more about circle here:

brainly.com/question/11833983

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Answer 2
Answer: So first, find the area of the square. 12x12= 144inches^2
Then find the area of the circle. To do this we use pi x r^2. The radius of the circle is 6 inches. Pi x 6^2 = 113.04inches^2.
144 - 113.04 = 30.6, so your answer is 30.6 inches^2

The circles circumference is worked out by using pi x d. The diameter is 12 inches, so 3.14x12 = 37.68 inches.
The squares perimeter is 12 x 4 = 48 inches.
If you round up the circumference of the circle to the nearest integer, you get 38 inches. The ratio would therefore be, 38:48, which can be rounded down to 19:24 :)

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Answers

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Answers

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Hope this helped :)

Answer:

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