Math 2022 Question 38

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Question

An isosceles triangle is drawn on the 1 cm grid below/ Six identical circles partially cover the triangle. Each circle is divided into four equal parts. The area of the shaded fraction shown in the circle 2 cm2 .


Answer

52 cm2


Explanation

1/4 of the circle = 2cm cubed.

Therefore the area of 1 circle is 4×2 = 8

There are 6 circles. The area of all 6 circles is 8 x 6 = 48

Area of the triangle is bxh÷2 = 10×20÷2 = 100

Therefore the area not covered by circles is 100-48 = 52


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