A circle of radius 7 cm is drawn inside an equilateral triangle. Find

1.	A circle of radius 7 cm is drawn inside an equilateral triangle. Find the area of triangle 1. 141√2 cm22. 150√5 cm23. 155√2 cm24. 147√3 cm2
Answer» Correct Answer - Option 4 : 147√3 cm² Given: Radius of circle = 7 cm Formula: Area of circle = πr² Area of triangle = √3 / 4 × a² In radius of circle = a / 2√3 Calculation: In radius of circle = a / 2√3 ⇒ 7 = a / 2√3 ⇒ a = 14√3 Area of triangle = √3 / 4 × (14√3)² ⇒ √3 / 4 × 14 × 14 × 3 ⇒ 147√3 cm

A circle of radius 7 cm is drawn inside an equilateral triangle. Find the area of triangle 1. 141√2 cm22. 150√5 cm23. 155√2 cm24. 147√3 cm2

Answer» Correct Answer - Option 4 : 147√3 cm²

Given:

Radius of circle = 7 cm

Formula:

Area of circle = πr²

Area of triangle = √3 / 4 × a²

In radius of circle = a / 2√3

Calculation:

In radius of circle = a / 2√3

⇒ 7 = a / 2√3

⇒ a = 14√3

Area of triangle = √3 / 4 × (14√3)²

⇒ √3 / 4 × 14 × 14 × 3

⇒ 147√3 cm

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A circle of radius 7 cm is drawn inside an equilateral triangle. Find the area of triangle 1. 141√2 cm22. 150√5 cm23. 155√2 cm24. 147√3 cm2

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