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Anna007 [38]
2 years ago
7

10. A wire is of length 264 cm. It is bent into a circle. What is the radius of the circle so obtained. If it

Mathematics
1 answer:
Luden [163]2 years ago
4 0

Answer:

r = 42 --- radius

L = 66 -- Length of the square

Step-by-step explanation:

Given

Length = 264cm

Solving (a): Find the radius (when it formed a circle).

The length of the wire represents the circumference (C) of the wire.

So, we have:

C = 2\pi r

Make r the subject

r = \frac{C}{2\pi}

Substitute 264 for C

r = \frac{264}{2\pi}

r = \frac{132}{\pi}

Take \pi as 22/7

r = \frac{132}{22/7}

r = \frac{132*7}{22}

r = \frac{924}{22}

r = 42

Solving (b): Find the side length (when it formed a square).

The length of the wire represents the perimeter (P) of the wire.

So, we have:

P = 4L

Make L the subject

L = \frac{1}{4}P

Substitute 264 for P

L = \frac{1}{4}*264

L = 66

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