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Can someone help me to understand this? Math 20 points

Can someone help me to understand this? Math 20 points-example-1

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1 vote

Answer:

20.52 cm²

Explanation:

Semicircle - triangle

(½ pi × 6²) - (½ × 12 × 6)

(½ × 3.14 × 36) - 36

20.52

User Joshua Dale
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7.5k points
4 votes

Given:

A triangle is placed in a semicircle with a radius of 6 cm.

We need to determine the area of the shaded region.

Area of the triangle:

The area of the triangle can be determined using the formula,


A=(1)/(2) bh

Substituting b = 6 and h = 6, we get;


A=(1)/(2)(6)(6)


A=(1)/(2)(36)


A=18

Thus, the area of the triangle is 18 cm²

Area of the semicircle:

The area of the semicircle can be determined using the formula,


A=(\pi r^2)/(2)

Substituting π = 3.14 and r = 6, we get;


A=((3.14)(6)^2)/(2)


A=(113.04)/(2)


A=56.52

Thus, the area of the semicircle is 56.52 cm²

Area of the shaded region:

The area of the shaded region can be determined by subtracting the area of the triangle from the area of the semicircle.

Thus, we have;

Area = Area of semicircle - Area of triangle

Substituting the values, we get;


Area = 56.52-18


Area = 38.52

Thus, the area of the shaded region is 38.52 cm²

User OverToasty
by
8.3k points

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