A circle with radius 16 cm is inscribed in a square . which is the area of the shaded region
I need the answer so I can finish my test, Please get the answer soon :) .
you stoopit
To find the area of the shaded region, we need to subtract the area of the circle from the area of the square.
1. Start by finding the area of the circle:
- The formula for the area of a circle is: A = πr^2, where A is the area and r is the radius.
- In this case, the radius of the circle is given as 16 cm.
- Substitute the value of the radius into the formula: A = π(16)^2.
- Calculate the area of the circle using the value of π (pi), which is approximately 3.14.
- A = 3.14 * (16)^2.
2. Next, find the area of the square:
- Since the circle is inscribed in a square, the sides of the square are equal to the diameter of the circle.
- The diameter of the circle is twice the radius, so it is 2 * 16 = 32 cm.
- The area of a square is calculated by squaring the length of one of its sides.
- Since the side of the square is 32 cm, the area of the square is: A = 32^2.
3. Finally, calculate the area of the shaded region:
- Subtract the area of the circle from the area of the square: Shaded Area = Area of Square - Area of Circle.
- Shaded Area = A (Square) - A (Circle).
- Plug in the values you found in step 1 and step 2:
Shaded Area = (32^2) - 3.14 * (16^2).
- Simplify and compute to find the value of the shaded area.
no idea. what is the shaded region?
But you do know that the diameter of the circle is the same as the side of the square.