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What is the area of a circle with a diameter of 12in?

User Voula
by
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2 Answers

5 votes

The formula for the area of a circle is:

Area = π x (radius)^2

where π (pi) is a mathematical constant approximately equal to 3.14159, and the radius is half of the diameter.

Given that the diameter of the circle is 12 in, we can find the radius by dividing the diameter by 2:

radius = diameter / 2 = 12 in / 2 = 6 in

Now we can substitute this value into the formula for the area:

Area = π x (radius)^2 = π x (6 in)^2

Using a calculator to approximate π as 3.14159, we get:

Area ≈ 3.14159 x (6 in)^2 ≈ 113.1 in^2

Therefore, the area of the circle with a diameter of 12 in is approximately 113.1 square inches.

User JaminSore
by
7.6k points
6 votes

Answer:

113.1in^2 (round to 1dp)

Explanation:

to calculate the area of a circle, you use the formula π
r^(2) where r is the radius which in this case is 6 and the square of 6 is 36 so its 36π

which equals 113.0973355in^2 and 113.1in^2 if you round it to 1 decimal place

User DinushaNT
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7.4k points