A geometry problem by A Former Brilliant Member

Geometry Level 2

The lengths of the semi circles are 6.3 cm, 4.7 cm and 7.9 cm. The diameter of each semi circle is the length of the side of the right triangle. What is the perimeter of the triangle? Round off your answer to the nearest whole number.

12 cm 6 cm 16 cm 14 cm 4 cm 2 cm 10 cm 8 cm

1 solution

Ayush G Rai
Nov 10, 2016

The lengths of half of the circumference of their respective circles are given $=\dfrac{\pi d}{2}$ where $d$ is the diameter of the circles with respect to the sides of the triangle.
$\therefore$ The perimeter of the triangle $=\dfrac{6.3\times 2}{\pi}+\dfrac{4.7\times 2}{\pi}+\dfrac{7.9\times 2}{\pi}\approx\boxed{12 cm}.$

A geometry problem by A Former Brilliant Member

1 solution

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