Question

Two squares are attached to the sides of a quarter circle as shown. What is the best approximation for the area of this figure? Use 3.14 to approximate pi.

Answer 1

Start with 1 square
Area of a square = s^2
s = 10 mm
Area = (10 mm)^2
Area = 100 mm^2

But you have 2 such squares.
Area_2 = 2 * 100 mm^2 = 200 mm^s

Area of a full circle
Area = pi r^2
r = 10 mm
Area = pi * 10^2
Area = 3.14 * 100
Area of a full circle = 314 mm^2

But you only have 1/4 circle
Area 1/4 circle = 314 mm^2 / 4
Area 1/4 circle = 78.5 mm^2


Total Area
Total Area = 200 + 78.5 =
278.5 mm^2 <<<<< answer.