Math, asked by sophiahobbs15, 1 month ago

A circular pen has an area of 64pi square yards. What is the circumference of the pen? Give your answer in terms of pi

Answers

Answered by MysticSohamS
2

Answer:

hey here is your answer

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so here we go

Step-by-step explanation:

so now here area of circular pen=64 pi square

so now area of circular pen=area of circle ie

ie 64 pi =pi r square

so now,,

pi on either sides will get eliminated

so r square=64

taking square root in both sides we get

r=8 or r=-8

but as dimensions length radius are never negative r=-8 is absurd

thus r=8 (1)

so now circumference of circular pen =circumference of circle

=2×8×pi from (1)

ie 16 pi yard

so circumference of circular pen is 16 pi yard

u can further substitute value of pi as 3.14 or 22/7

you would get 50.2

so I hope you now understood how to deal with such sums

Answered by RvChaudharY50
2

Given :- A circular pen has an area of 64pi square yards. What is the circumference of the pen? Give your answer in terms of pi ?

Answer :-

Let us assume that, radius of pen is r yards .

so,

→ Area of pen = π * r² yards²

A/q,

→ π * r² = 64π

→ r² = 64

→ r = 8

then,

→ Circumference of pen = 2πr = 2 * π * 8 = 16 π yards (Ans.)

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