Here is a picture that shows one side of a child's wooden block with a semicircle cut out at the bottom.
The face of an arch-shaped block. The horizontal side of the block is labeled 9 centimeters and the vertical side of the block is labeled 4.5 centimeters. A semi circle with diameter labeled 5 centimeters is removed from the block.
Find the area of the side.
30.7 cm² (nearest tenth) Step-by-step explanation: Area of the wooden block = area of rectangle - area of semi-circle Area of Rectangle = length × width Length = 9 cm Width = 4.5 cm Area of rectangle = 40.5 cm² Area of semi-circle = ½(πr²) Radius (r) = ½ of diameter = ½*5 = 2.5 cm π = 3.14 Area of semi-circle = ½(3.14*2.5²) Area of semi-circle = 9.8125 cm²
