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pantera1 [17]
2 years ago
9

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

Mathematics
2 answers:
ycow [4]2 years ago
7 0
<h3>❒ <u>Given</u> ❒</h3>

❖ Area of circle = 6767 sq.cm

<h3>❒ <u>To Find</u> ❒</h3>

❖ The required diameter of a circle ?

<h3><u>Solution</u> </h3>

<h3>❒ <u>Concept</u> ❒</h3>

❖ 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.

<h3>❒ <u>We know that</u> ❒</h3>

➻ 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

<h3>❒ <u>Therefore</u> ❒</h3>

❖ The required diameter of a circle is

  • ➻ d = 92.82 cm

━━━━━━━━━━━━━━━━━━━━━━

scZoUnD [109]2 years ago
6 0
  • 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

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