The diameter of two circular plates are 24 cm respectively. What is the diameter of the plate which has area equal to the combined area of the two given plates?Sub Grade: 9

# The diameter of two circular plates are 24 cm respectively. What is the diameter of the plate which has area equal to the combined area of the two given plates?Sub Grade: 9

1. A
24 cm
2. B
20 cm
3. C
22 cm
4. D
10 cm

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### Solution:

Area of plate 1m A1=𝝿r12
=   (24/2)2
Area of plate A2= 𝝿r22
=(24/2)2
Combined area of plate A= A1+A2
A=𝝿25+149𝝿
A=169𝝿
TO find diameter of combined plate
A=𝝿r2
169𝝿= 𝝿r2
169 𝝿=𝝿r2
r= √169
r=13 cm
d= 26 cm

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