Question

The circumference of a circle exceeds the diameter by 33.6 cm find the area of the circle

Answer 1

Answer:

d = 33.6cm

r = 16.8cm

A = pi * r²

A = 3.14 * 16.8²

A =886.23 cm²

Answer 2

The area of required circle is 386.3552 cm²

Step-by-step explanation:

Given : Circumference of a circle exceeds the diameter by 33.6 cm

To find: Area of circle

Circumference = diameter +33.6

as we know

circumference of a circle is given by $2\pi r$ where r is the radius of circle

Now  

As we know diameter = 2 x radius = 2r

According to question

$2\pi r= 2r+33.6\\\\\Rightarrow 2\pi r -2r= 33.6\\\\\Rightarrow 2r(\pi-1)=33.6\\\\\Rightarrow 2r(\dfrac{22}{7} -1)=33.6\\\\\Rightarrow 2 r\times \dfrac{15}{7} =33.6\\\\\Rightarrow r = 33.6\times \dfrac{7}{15} \times \dfrac{1}{2} = 7.84 cm$

Now area of the circle is given by $area = \pi r^2$ where r is the radius of circle

$area= 2\times \dfrac{22}{7} \times (7.84)^2= 386.3552cm^2$

Hence, the area of required circle is 386.3552 cm²

#Learn more

Find the diameter of a circle whose circumference is 66 meter

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