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kolezko [41]
2 years ago
5

The circumference of a circle exceeds the radius by 74 cm. Find the radius of the circle.​

Mathematics
2 answers:
Yakvenalex [24]2 years ago
7 0

Answer:

14cm

Step-by-step explanation:

hope it helps you out

saw5 [17]2 years ago
3 0

Answer:

14 cm.

Step-by-step explanation:

Let the radius of the circle = r cm.

Then circumference of circle = 2 π r.

Since circumference exceeds the radius by 74 cm

Therefore, according to the question,

\sf \:2 π r = r+ 74

\sf \: =   > 2 \times  \frac{22}{7}  \times r =  r \:  + 74

\sf \: =  >  \frac{44r}{7}  -r  = 74

\sf \:  =  > \frac{44r - 7r}{7}  = 74

\sf \: =  >  \frac{37r}{7}  = 74

\sf \: =  > r =  \frac{7 \times 74}{37}

\sf \: =  >  r = 14

  • Hence, the radius of the circle is 14 cm.

________________________________

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