Area

Geometry Level 2

As it is shown in the diagram on the right, there is a 10cm square inside the quarter of the circle.

Find the area of the shaded part

.

57 15.7 314 62.8

Shintaro Inaba by Shintaro Inaba , 17, Japan

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2 solutions

Shintaro Inaba
Jan 11, 2016

The area of the square = 10*10=100

The diagonal line of the square = Square root of 200

200*3.14/4=157

157-100=57

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Edwin Gray
Jul 8, 2018

The square has a diagonal = 10sqrt(2), which is the radius of the circle, so the area of shaded part = (1/4) (pi) 200 - 100 = 57. Ed Gray

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