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ziro4ka [17]
3 years ago
11

The circumference of a circle is 25π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.

Mathematics
2 answers:
sveta [45]3 years ago
7 0

Answer:

circumference=25πcm

2πr=25cm

r=25π/2π=25/2

area=<u>πr²</u><u>=</u><u>π</u><u>(</u><u>2</u><u>5</u><u>²</u><u>/</u><u>4</u><u>)</u><u>=</u><u>6</u><u>2</u><u>5</u><u>π</u><u>/</u><u>4</u><u> </u><u>c</u><u>m</u><u>²</u>

shusha [124]3 years ago
4 0

Answer:

Area = 156.25 pi square centimetres

Step-by-step explanation:

circumference = 》

2 \: \pi\:r

so,

=》

2  \: \pi \: r = 25\pi

=》

r = 25 \div 2

=》

r = 12.5

now, the area = 》

\pi \: r  \: {}^{2}

=》

\ pi \times 12.5 \times 12.5

=》

  • [tex]156.25 pi square centimeters
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