Question

Find the area outside the circles but inside the rectangle of the figure to the right

Answer 1

Length of rectangle

• 8+8=16in

Area of rectangle.

• Length×Breadth
• 16(8)
• 128in²

Arew of two circles.

• 2×πr²
• 2×π(8/2)²
• 2×16π
• 32π
• 100.48in²

Area of shaded region

• 128-100.48
• 27.52in²

Answer 2

• 27.52 in²

Explanation:

Given dimensions

Rectangle:

• w = 8 in, l = 8*2 = 6 in

Circle:

• d = 8 in

Find the area of the rectangle:

• A(r) = lw = 8*16 = 128 in²

Find the area of circles:

• A(c) = 2*πr² = 2πd²/4 = πd²/2 = 3.14*8²/2 = 100.48 in²

Find the difference:

• A = 128 - 100.48 = 27.52 in²