A circle with an area of 144pi is inscribed in a square. The square part is shaded
I know that the radius is 12 so doesn't that mean the square has an area of 144 square units but wouldn't that mean the shaded region area is pi?
I know that the radius is 12 so doesn't that mean the square has an area of 144 square units but wouldn't that mean the shaded region area is pi?
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since the circle inscribed ina square circle is inside the square. The side of the square is the diameter of the circle. As you found radius =12 diameter =24 area of square=24x24=576 the shaded region (ie 4corners near the circle ) has area=576-144pi
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The inscribed circle has 4 tangent points. The goal is to find the distance between two opposite tangent points, which is the diameter. The formula for the area of a circle is pi(r)^2, so divide the area by pi and find the square root of the new number, and we get the radius of 12. The radius is 1/2 the diameter, so the diameter is 24.
All diameters in a circle are the same length. Dor one that is parallel to the side of the square, it means that the side of the square is the same length. A side of the square is 24. The area of the square is one side squared, which makes the area of the square 576.
The area of the shaded region is the square's area minus the circle's area.
576 - 144pi is the area.
It is best to leave it alone in terms of pi because the answer in terms of pi gives the exact answer. In standard notation, however, the answer is without the pi involved.
Pi is 3.141592... as it is irrational.
144 * pi = ~452
576 - 452 = 124
All diameters in a circle are the same length. Dor one that is parallel to the side of the square, it means that the side of the square is the same length. A side of the square is 24. The area of the square is one side squared, which makes the area of the square 576.
The area of the shaded region is the square's area minus the circle's area.
576 - 144pi is the area.
It is best to leave it alone in terms of pi because the answer in terms of pi gives the exact answer. In standard notation, however, the answer is without the pi involved.
Pi is 3.141592... as it is irrational.
144 * pi = ~452
576 - 452 = 124
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Nope, it's not.
Since the radius is 12 units, the diameter is 24 units. Notice that the diameter is as long as the sides of the square. This means that the area of the square is (24)^2 = 576 sq. units.
Hence, the area of the shaded region is (576 - 144π) or 144(4 - π) sq. units.
Have a good day.
Since the radius is 12 units, the diameter is 24 units. Notice that the diameter is as long as the sides of the square. This means that the area of the square is (24)^2 = 576 sq. units.
Hence, the area of the shaded region is (576 - 144π) or 144(4 - π) sq. units.
Have a good day.
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the area of the square would be 576 if the radius was 12-
so 576-144= 432
so 576-144= 432