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5 votes
Find the area of the shaded region.

60
5 cm
A ~ [?] cm2
iter a decimal rounded to the nearest tenth​

Find the area of the shaded region. 60 5 cm A ~ [?] cm2 iter a decimal rounded to-example-1
User Sinhayash
by
6.7k points

2 Answers

3 votes

Answer:

76.3

Explanation:

User Zam
by
6.3k points
1 vote

Answer:

76.3 cm^2 to the nearest tenth.

Explanation:

The area of the clear segment

= area of the sector - area of the triangle

= 1/6π r^2 - area of the triangle.

If we halve the equilateral triangle we have a 30-6-90 triangle whose height is 5 * 5*√3/2.

Area of the triangle = 1/2 base * height

= 1/2 * 5 * 5*√3/2

Area of the segment

= 1/6 * π 5^2 - 12.5 * √3/2

= 2.265 cm^2.

So the area of the shaded part

= π 5^2 - 2.265

= 76.27 cm^2.

User Pozs
by
6.4k points
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