Miguel cuts a square with a 5inch sides out of a circle with a 12inch diameter. Find the area of the remaining piece to the nearest tenth.
I don't undersand how to figure ou the problem.
The radius is 6 inches.
Square that and multiply by 3.14 to find the area of the circle. See above.
Find the area of the circle. Then find the area of the square. Subtract the square's area from the circle's area.
so the answer is 12.7?
sorry my sister typed in her name so it says her name not mine
that's my answer...12.7
I got a different answer.
Did you use this formula for the area of the circle? A = pi * r^2
Did you multiply 5 * 5 for the area of the square?
yes ma'm
Circle:
3.14 * 36 = 113.04 square inches
5 * 5 = 25 square inches
113.04 - 25 = 88.04 = 88.0 square inches
so the circle equals 3.14rsquare (r=3.5 square) and that equals 11
then for the square 5square and that equals 20
then 20-11=9
the answer is 9?
To find the area of the remaining piece after Miguel cuts a square out of a circle, you'll need to follow these steps:
1. Start by finding the area of the original circle with a 12-inch diameter. The formula to find the area of a circle is A = πr^2, where A is the area and r is the radius. The radius of the circle is half of the diameter, so in this case, it would be 12 inches / 2 = 6 inches. Plugging this value into the formula, we get A = π * (6 inches)^2.
2. Next, calculate the area of the square that Miguel cut out. Since the square has 5-inch sides, its area can be found using the formula A = s^2, where A is the area and s is the length of a side. Plugging in the value, we get A = (5 inches)^2.
3. Finally, subtract the area of the square from the area of the circle to find the remaining piece's area. Subtract the value obtained in step 2 from the value obtained in step 1: Area of remaining piece = (Area of circle) - (Area of square).
Let's calculate the areas now:
1. Area of the circle = π * (6 inches)^2
≈ 3.14 * (36 square inches)
≈ 113.04 square inches.
2. Area of the square = (5 inches)^2
= 25 square inches.
3. Area of the remaining piece = Area of circle - Area of square
≈ 113.04 square inches - 25 square inches
≈ 88.04 square inches.
Therefore, the area of the remaining piece, to the nearest tenth, is approximately 88.0 square inches.