area of semicircle with radius y is
Answers
The area of a shape is the amount of space that it encloses. In the case of a circle, the formula for area, A, is A = pi * r^2, where r is the circle's radius. Since we know that a semicircle is half of a circle, we can simply divide that equation by two to calculate the area of a semicircle.
So, the formula for the area of a semicircle is A = pi * r^2/2. Let's use that formula to calculate the area of a semicircle with a radius of 8 inches. We'll use 3.14 as an approximation of pi. So, now we plug the values into the equation.
A = 3.14 * 8^2/2. 8^2 is 64, so A = 3.14 * 64/2. Simplified, that's A = 200.96/2, which is 100.48. Therefore, the area of this semicircle is 100.48 square inches. In other words, the space that the semicircle encloses consists of 100.48 square inches.
Okay, what about a semicircle with a 10-foot diameter? We have a little snag here. We need the radius of our area formula, but this diagram gives us the diameter. Remember from earlier, though, that the radius of a circle (or semicircle) is half its diameter. So in this case, the radius is 10/2, or 5 feet long. Now, we can plug values into our formula.
A = 3.14 * 5^2/2. 5^2 is 25, so A = 3.14 * 25/2. Simplified, that's 78.50/2, or 39.25. The area of this semicircle is 39.25 square feet. So, we can calculate the area of any semicircle if we're given the diameter or radius.
the area of semicircle having
r= y. ....1/ 2 πy ²
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