Question

A tool is prepared out of a circular metallic disc of radius 14 cm, by taking out two semicircular parts of radius 7 cm each from the two sides. Find the area of the metal used in making 50 such tools.

Answer 1

Answer:

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Answer 2

The  area of the metal used in making 50 such tools is $23100\ cm^2$ .

Explanation:

As per given , we have

Radius of metallic disc : $r_1=14\ cm$

Radius of semicircular part = $r_2=7\ cm$

Area of the metal used in making one tool = Area of metallic disc - Area of 2 semicircular parts

$=\pi r_1^2-2(\dfrac{\pi r_2^2}{2})$

$=\pi (r_1^2-r_2^2)$

$=\dfrac{22}{7}(14^2-(7)^2)\\\\=\dfrac{22}{7}(196-49)=\dfrac{22}{7}(147) \\\\=462\ cm^2$

Now , Area of the metal used in making 50 such tools. = 50 x Area of the metal used in making one tool

$=50\times462=23100\ cm^2$

Hence, the  area of the metal used in making 50 such tools is $23100\ cm^2$ .

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