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Sagot :

Answer:

Diameter of the mirror = 24 cm

Area of the pond = 12.57 sq. m

Step-by-step explanation:

Area of the mirror = 144pi sq. cm = pi x r^2

diameter = 2 x r

Getting the radius (r):

144pi = pi x r^2

144 = r^2

r = 12

diameter = 2 x r = 2 x 12 = 24 cm//

Area of the pond = pi x r^2

r = 2 m

Area = pi x 2^2 = 3.1416 x 4 = 12.57 sq. m//

Answer:

d=24cm

A=12.56m²

Step-by-step explanation:

The formula for the area of a circle is

A=πr².

In the first question, the area is given which is 144πcm².

We know that A= πr², then

A= π(144cm²). So

r²=144cm².

Get the square root of 144 to get the value of the radius.

r=√144cm²

r= 12 cm.

Recall that the diameter is twice the radius.

d= 2r

d= 2(12cm)

d= 24cm

For the second question,

A= πr²

A= 3.14(2m)²

A= 3.14(4m²)

A= 12.56m².