The shaded figure in the diagram above consists of five squares. It touches the circle at points M, N, P, and Q. The radius of the circle is 15 centimeters. What is the area of the shaded portion of the figure?
Answer (2)
the radius of the circle is 15, so its diameter is 30 that means the distance between P and M, and N and Q, is 30 because those distances are split up into three equal parts by the squares, each square has a length of 10 area of square = side^2 A = 10^2 A = 100 five squares: 100 * 5 500 the shaded area occupies 500 square centimeters
The area of the shaded portion, which is made up of five squares, is found by calculating the area of one square and multiplying by five. Each square has an area of 100 square centimeters, leading to a total shaded area of 500 square centimeters. Therefore, the total area of the shaded portion is 500 cm².
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