SOLUTION: In the diagram below, ABCD is a square with sides 8 cm. Arcs of radius 8 cm are drawn with centres at B and D. Find the area of the shaded region, in cm^2 Diagram: https://img

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Question 1188245: In the diagram below, ABCD is a square with sides 8 cm. Arcs of radius 8 cm are drawn with centres at B and D. Find the area of the shaded region, in cm^2

Diagram: https://imgur.com/gallery/YtR3qIy

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

use the diagonal AC to visualize two right triangles, each one has shaded segments of a circle

the shaded region is cut by diagonal into two equal portions
find the area of the one portion and double it
Capture11-29-2021-5-50-54-PM
so
Capture11-29-2021-5-52-28-PM


area of of shaded region= area of the circle minus area of the triangle
side of square
area of the circle=
area of the triangle=
area of shaded region=
double it
area of shaded region=




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