Question

the circumference of a circular park is 352m .find the area of the park​

Answer 1

Answer:

9856 sq.m is the correct answer.

Answer 2

Given :-

Circumference of Circle = 352 m

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To Find :-

Area of the Park :-

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Formula Used Here :-

Circumference of Circle = 2πr

Area of the Circle = πr²

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Solution Start :-

$= > \: Circumference \:of\:Circle = 2πr \\ \\ = > 352 \: m = \: 2 \times \frac{22}{7} \times r \\ \\ = > 352 \: m = \frac{44}{7} \times r \\ \\ = > \: \frac{352 \times 7}{44} = r \\ \\ = > \frac{\cancel {352} \times 7}{\cancel {44}} = r \\ \\ = > 8 \times 7 = r \\ \\ = > \: 56 \: cm \: = radius$

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Now, We will find Area of Circle :-

Area of Circle = πr²

$= > \: Area \: of \: Circle = πr² \\ \\ = > Area \: of \: Circle = \frac{22}{7} \times {56}^{2} \\ \\ = > Area \: of \: Circle = \frac{22}{7} \times 56 \times 56 \\ \\ = > Area \: of \: Circle = \frac{22}{\cancel {7}} \times \cancel {56} \times 56 \\ \\ = > Area \: of \: Circle = \: 22 \times 8 \times 56 \\ \\ = > Area \: of \: Circle = \: 176 \times 56 \\ \\ = > Area \: of \: Circle = \: 9856 \: {cm}^{2}$

❝ The area of circle is 9856 cm².❞

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