Q:

# help me please and explain. FIND THE AREA OF THE UNSHADED REGION β

Accepted Solution

A:
To solve this first find the area of each of the white shapes inside the rectangleThe formula for the area of a circle is:A = ΟrΒ²In this case we know that the radius is 2 Plug what you know into the area of a circle formula:A = Ο2Β²A = Ο4A = 4ΟA β 12.57The formula for the area of a square is:A = Length x Height In this case we know that both length and height are 3Plug what you know into the formula for area of a square:A = 3 x 3A = 9To find the area of the UNSHADED region simply add together the area of the circle (12.57) with the area of the square (9):12.57 + 9 β 21.57To find the area of the SHADED region find the total area of the surrounding rectangle then subtract the area of unshaded area from the total area of the surrounding rectangle.The formula for the area of a rectangle is:A = Length x Height The length is 10 and the height is 7A = 10 x 7A = 70Shaded region:70 - 21.57 = 48.43Unshaded region: 21.57Total area of surrounding rectangle: 70Shaded region: 48.43Hope this helped!~Just a girl in love with Shawn Mendes