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A triangle is placed in a semicircle with a radius of 7 cm, as shown below. Find the area of the shaded region.Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

A triangle is placed in a semicircle with a radius of 7 cm, as shown below. Find the-example-1
User JIV
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1 Answer

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First, we have to find the area of the semicircle :

Area of a semicircle =( π radius^2)/2

Replacing with the values given:

A (semicircle) = (3.14 x 7 ^2 ) /2 = 76.93 cm2

Then, find the area of the triangle:

the triangle is formed by 2 right triangles:

Area of a right triangle = 1/2 x base x height

base = 7cm

height =7cm

Replacing with the values:

A (right triangle) = 1/2 x 7 x7 = 24.5 cm2

Since there are 2 right triangles:

Total triangle area = 24.5+24.5 = 49 cm2

Finally, we have to subtract the total area of the triangle to the area of the semicircle:

76.93-49= 27.93 cm2

User Gffbss
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