The length of a side of an equilateral triangle is 21 cm. what would b

1.	The length of a side of an equilateral triangle is 21 cm. what would be the approximate area of the circumcircle of the equilateral triangle.[Use \(\pi = \frac{22}{7}\)]1. 154 \(\sqrt{3}\) cm22. 462 \(\sqrt{3}\) cm23. 462 cm24. 484 cm2
Answer» Correct Answer - Option 3 : 462 cm² Given: Side of equilateral triangle = 21 cm Formula used: Radius of circumcircle of an equilateral triangle = side/√3 Area of circle = πr2 where, r = Radius Calculation: The radius of circumcircle = 21/√3 ⇒ 7 × √3 ⇒ 7√3 cm Area of the circumcircle = 22/7 × 7√3 × 7√3 ⇒ 22 × 7 × 3 cm² ⇒ 22 × 21 cm2 ⇒ 462 cm2 ∴ The approximate area of the circumcircle of the equilateral triangle is 462 cm2

The length of a side of an equilateral triangle is 21 cm. what would be the approximate area of the circumcircle of the equilateral triangle.[Use \(\pi = \frac{22}{7}\)]1. 154 \(\sqrt{3}\) cm22. 462 \(\sqrt{3}\) cm23. 462 cm24. 484 cm2

Answer» Correct Answer - Option 3 : 462 cm²

Given:

Side of equilateral triangle = 21 cm

Formula used:

Radius of circumcircle of an equilateral triangle = side/√3

Area of circle = πr2 where, r = Radius

Calculation:

The radius of circumcircle = 21/√3

⇒ 7 × √3

⇒ 7√3 cm

Area of the circumcircle = 22/7 × 7√3 × 7√3

⇒ 22 × 7 × 3 cm²

⇒ 22 × 21 cm2

⇒ 462 cm2

∴ The approximate area of the circumcircle of the equilateral triangle is 462 cm2

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The length of a side of an equilateral triangle is 21 cm. what would be the approximate area of the circumcircle of the equilateral triangle.[Use \(\pi = \frac{22}{7}\)]1. 154 \(\sqrt{3}\) cm22. 462 \(\sqrt{3}\) cm23. 462 cm24. 484 cm2

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