Question

The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circles having area equal to the sum of the areas of two circles.​

Answer 1

Answer:

the radius is 7 cm because 8+6 = 14

Step-by-step explanation:

Answer 2

Given:

• Radius of first circle is 8 cm
• Radius of second circle is 6 cm

To Find:

• Radius of circle

Solution:

☯ Let the radius of required circle = x cm.

According to the question:

★ Area of circle = Sum of the area of both the circle

→ Area of circle = Area of 1st circle + Area of 2nd circle

→ πr² = πr1² + πr2²

→ πr² = π (r1² + r2²)

→ r² = 8² + 6²

→ r² = 64 + 36

→ r² = 100

→ r = √100

→ r = √10²

→ r = 10 cm

Hence,

• Radius of required circle is 10 cm.