Three circles are described with a radius of 10 cm at the corner of th

1.	Three circles are described with a radius of 10 cm at the corner of the equilateral triangle as the center. So that each touches the other two. Find the uncommon area of the triangle and the circle. (Take √3 = 1.73)1. 15.86 cm22. 10.86 cm23. 20.86 cm24. 21 cm2
Answer» Correct Answer - Option 1 : 15.86 cm² Given: The radius of the circle = 10 cm Formula used: Area of an equilateral triangle = (√3/4) × side² Area of sector = (θ/360) × πr² Where, r = radius of the circle Calculation: Area of the equilateral triangle ⇒ (√3/4) × 20 × 20 ⇒ 100 × 1.73 ⇒ 173 Area of the 3 sector ⇒ 3 × (60/360) × (22/7) × 10 × 10 ⇒ 157.14 Area of the uncommon area ⇒ 173 – 157.14 ⇒ 15.86 ∴ The area of the uncommon area is 15.86 cm².

Three circles are described with a radius of 10 cm at the corner of the equilateral triangle as the center. So that each touches the other two. Find the uncommon area of the triangle and the circle. (Take √3 = 1.73)1. 15.86 cm22. 10.86 cm23. 20.86 cm24. 21 cm2

Answer» Correct Answer - Option 1 : 15.86 cm²

Given:

The radius of the circle = 10 cm

Formula used:

Area of an equilateral triangle = (√3/4) × side²

Area of sector = (θ/360) × πr²

Where,

r = radius of the circle

Calculation:

Area of the equilateral triangle

⇒ (√3/4) × 20 × 20

⇒ 100 × 1.73

⇒ 173

Area of the 3 sector

⇒ 3 × (60/360) × (22/7) × 10 × 10

⇒ 157.14

Area of the uncommon area

⇒ 173 – 157.14

⇒ 15.86

∴ The area of the uncommon area is 15.86 cm².

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Three circles are described with a radius of 10 cm at the corner of the equilateral triangle as the center. So that each touches the other two. Find the uncommon area of the triangle and the circle. (Take √3 = 1.73)1. 15.86 cm22. 10.86 cm23. 20.86 cm24. 21 cm2

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