Area Related to Circle Test

Result

Area Related to Circle Test - 2

Score
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Weekly Quiz Competition

Question 1
1 / -0

A and B have two threads and they used these threads to prepare circles. A prepares a circle whose radius is 6.7 cm and B prepares a circle whose radius is 18.4 cm. They decide to prepare a bigger circle using these two threads. What is the area of the new circle?

A
1980 cm²

B
2134 cm²

C
2676 cm²

D
3127 cm²

Solution

Circumference of the first circle = 2πr₁ = 2 × π × 6.7
Circumference of the second circle = 2πr₂ = 2 × π × 18.4
According to the question:
Circumference of the bigger circle = Circumference of the first circle + Circumference of the second circle
2πR = 2 × π × 6.7 + 2 × π × 18.4
R = 6.7 + 18.4
R = 25.1 cm
Area of the bigger circle = πR²
= 22/7 × (25.1)²
= 1980 cm²