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(A) Let the radius of the required circle be $r$.The circumference of a circle is given by the formula $C = 2 \pi r$.Let the radii of the two given ci

Vedclass · Accepted Answer

$33$

Vedclass · Answer

(A) Let the radius of the required circle be $r$.The circumference of a circle is given by the formula $C = 2 \pi r$.Let the radii of the two given circles be $r_1 = 15 \, cm$ and $r_2 = 18 \, cm$.According to the problem,the circumference of the new circle is equal to the sum of the circumferences of the two given circles:$2 \pi r = 2 \pi r_1 + 2 \pi r_2$Dividing both sides by $2 \pi$,we get:$r = r_1 + r_2$Substituting the values:$r = 15 \, cm + 18 \, cm$$r = 33 \, cm$Thus,the radius of the required circle is $33 \, cm$.

Find the radius of a circle whose circumference is equal to the sum of the circumferences of two circles of radii $15 \, cm$ and $18 \, cm$ (in $cm$).

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