The length of the rectangle is 20 m and the width of the rectangle is 10 m. Inside the rectangle have two circle, If we know that both circle are the same and they are tangent to the rectangle? What is the shaded area?

A. 200 - 20 pi m^2
B. 200 - 50 pi m^2
C. 100 pi - 200 m^2
D. 100 pi - 100 m^2

not just answer and tell me how to do it

the rectangle has area 10*20 = 200

each circle has area pi*5^2 = 25pi

You don't say which area is shaded, but I think the answer should be clear by now.

To find the shaded area, we first need to determine the area of the rectangle and the area of the circles. Then we can subtract the area of the circles from the area of the rectangle to find the shaded area.

The area of a rectangle is calculated by multiplying its length by its width. In this case, the length of the rectangle is 20 m and the width is 10 m, so the area of the rectangle is:

Area of rectangle = length × width
= 20 m × 10 m
= 200 m^2

Next, let's find the area of one circle and then multiply it by 2 since there are two circles.

The area of a circle is calculated using the formula A = πr^2, where A is the area and r is the radius. Since the circles are tangent to the rectangle, the radius of each circle will be half of the width of the rectangle.

The radius of each circle = (1/2) × width
= (1/2) × 10 m
= 5 m

Now we can find the area of one circle:

Area of one circle = π × (radius)^2
= π × (5 m)^2
= 25π m^2

Since there are two circles, the total area of the circles is:

Total area of the two circles = 2 × Area of one circle
= 2 × 25π m^2
= 50π m^2

Finally, we can find the shaded area by subtracting the area of the circles from the area of the rectangle:

Shaded area = Area of rectangle - Total area of the two circles
= 200 m^2 - 50π m^2

Therefore, the shaded area is 200 m^2 - 50π m^2.

Hence, the correct answer is B. 200 - 50π m^2.