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The area of an equilateral triangle inscribed in a circle is 43 cm2. The area of the circle is
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16 π cm² 3
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22 π cm² 3 -
28 π cm² 3 -
32 π cm² 3
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Correct Option: A
Using Rule 6,
| Area of ∆ABC = | × (side)² | |
| 4 |
| ⇒ | × (side)² = 4√3 | |
| 4 |
⇒ side = √16 = 4 cm
∴ ∠BOD = 60°
| ⇒ sin 60° = | |
| OB |
| ⇒ | = | ⇒ OB = | |||
| 2 | OB | √3 |
∴ Area of circle = πr²
| = π × | = | π cm² | ||
| 3 | 3 |
