The area of a circle is 154 cm2. If the area is doubled, then find the

1.	The area of a circle is 154 cm2. If the area is doubled, then find the ratio of their radius.1. 1 ∶ 2√22. 1 ∶ 43. 1 ∶ √24. 2 ∶ √2
Answer» Correct Answer - Option 3 : 1 ∶ √2 Given: Area of a circle = 154 cm² Area of another circle = 2 × 154 cm² Formula used: Area of circle = πr² Calculation: Let r be the radius of the circle and R is the radius of another circle. Area of a circle = 154 cm² Area of another circle = 2 × 154 cm² The ratio of their areas = (πr²)/( πR²) ⇒ 154/(2 × 154) = r²/R² ⇒ 1/2 = r²/R² ⇒ r/R = 1/√2 ∴ The ratio of their radius is 1 ∶ √2.

The area of a circle is 154 cm2. If the area is doubled, then find the ratio of their radius.1. 1 ∶ 2√22. 1 ∶ 43. 1 ∶ √24. 2 ∶ √2

Answer» Correct Answer - Option 3 : 1 ∶ √2

Given:

Area of a circle = 154 cm²

Area of another circle = 2 × 154 cm²

Formula used:

Area of circle = πr²

Calculation:

Let r be the radius of the circle and R is the radius of another circle.

Area of a circle = 154 cm²

Area of another circle = 2 × 154 cm²

The ratio of their areas = (πr²)/( πR²)

⇒ 154/(2 × 154) = r²/R²

⇒ 1/2 = r²/R²

⇒ r/R = 1/√2

∴ The ratio of their radius is 1 ∶ √2.

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The area of a circle is 154 cm2. If the area is doubled, then find the ratio of their radius.1. 1 ∶ 2√22. 1 ∶ 43. 1 ∶ √24. 2 ∶ √2

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