Question

Find the diameter of a circle with an area of 6767 square centimeters.

Answer 1

❒ Given ❒

❖ Area of circle = 6767 sq.cm

❒ To Find ❒

❖ The required diameter of a circle ?

Solution

❒ Concept ❒

❖ If the area of the circle is given then divide the outcome by π and find its square root in order to get the radius; then multiply by 2 to obtain the diameter.

❒ We know that ❒

➻ Area of Circle = πr²

➻Then radius of Circle ( r ) = √A / π

❒ Note = Here A stand for area

➻Thus diameter of Circle (d ) = 2 r

❖ Using the given formula and by solving for d ,we have ,

➻ d = 2 × √A / π

➻ d = 2 × √6767 / π

. . .( ∵ A = πr² = 6767 )

➻ d ≈ 92.82248 cm

➻ d = 92.82 cm

❒ Therefore ❒

❖ The required diameter of a circle is

• ➻ d = 92.82 cm

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Answer 2

• Area=6767cm²

Diameter be d

Radius be r

• πr²=6767
• r²=6767/π
• r²=2155
• r=46.4cm

Diameter=2r=46.4(2)=92.8cm