Math, asked by ajish2244, 1 year ago

A wire is bent to form a circle of radius 7 cm. From the resulting shape, a chunk of the wire is cut off, and the wirecut off measures 4 cm in length. The length of the remaining wire iscm​

Answers

Answered by akhileshbisht108
1

Answer:

The length of the remaining wire is \boxed{\bf 4\text{ cm}}.

Step-by-step explanation:

The radius of the circle is 7\text{ cm}.

Calculate the circumference of the circle.

\boxed{\begin{aligned}\text{Circumference}&=2\times \pi \times 7\\&=2\times \frac{22}{7} \times 7\\&=2\times 22\\&=44\end{aligned}}

Therefore, the circumference of the circle is 44\text{ centimeter}.

The length of the wire will be equal to the circumference of the circle. This implies that the length of the wire is 44\text{ centimeter}.

The length of the segment of the wire which is cutdown is 4\text{ cm}.

Calculate the length of the remaining wire.

\boxed{\begin{aligned}44-4=40\text{ cm}\end{aligned}}

Thus, the length of the remaining wire is \boxed{\bf 4\text{ cm}}.

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