The radii of two circles are 4 cm and 3 cm, respectively. What is the

1.	The radii of two circles are 4 cm and 3 cm, respectively. What is the diameter (in cm) of the circle having an area equal to four times the sum of the areas of the two circles?1. 122. 203. 244. 10
Answer» Correct Answer - Option 2 : 20 Given: The radii of two circles are 4 cm and 3 cm. Formula Used: Area of circle = πr² Here, r = radius of circle Calculation: The radii of two circles are 4 cm and 3 cm. The area of circle having radius 4 cm = π(4)² = 16π The area of circle having radius 3 cm = π(3)2 = 9π The sum of area of circles = 16π + 9π = 25π According to the question; ⇒ πr² = 4 × 25π ⇒ r² = 100 ⇒ r = 10 cm Diameter = 2r = 2 × 10 = 20 cm ∴ The diameter of the circle is 20 cm.

The radii of two circles are 4 cm and 3 cm, respectively. What is the diameter (in cm) of the circle having an area equal to four times the sum of the areas of the two circles?1. 122. 203. 244. 10

Answer» Correct Answer - Option 2 : 20

Given:

The radii of two circles are 4 cm and 3 cm.

Formula Used:

Area of circle = πr²

Here, r = radius of circle

Calculation:

The radii of two circles are 4 cm and 3 cm.

The area of circle having radius 4 cm = π(4)² = 16π

The area of circle having radius 3 cm = π(3)2 = 9π

The sum of area of circles = 16π + 9π = 25π

According to the question;

⇒ πr² = 4 × 25π

⇒ r² = 100

⇒ r = 10 cm

Diameter = 2r = 2 × 10 = 20 cm

∴ The diameter of the circle is 20 cm.

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The radii of two circles are 4 cm and 3 cm, respectively. What is the diameter (in cm) of the circle having an area equal to four times the sum of the areas of the two circles?1. 122. 203. 244. 10

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