A circle of radius 7 cm is drawn inside an equilateral triangle. Find the area of triangle
1. 141√2 cm2
2. 150√5 cm2
3. 155√2 cm2
4. 147√3 cm2
1. 141√2 cm2
2. 150√5 cm2
3. 155√2 cm2
4. 147√3 cm2
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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