The diameter of a circle is 105 , cm less tha | vedclass

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(D) Let the diameter of the circle be $d$ and the circumference be $C$.We know that the circumference of a circle is given by $C = \pi d$.According to

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$49$

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(D) Let the diameter of the circle be $d$ and the circumference be $C$.We know that the circumference of a circle is given by $C = \pi d$.According to the problem,the diameter is $105 \, cm$ less than the circumference,so $d = C - 105$.Substituting $C = \pi d$ into the equation,we get $d = \pi d - 105$.Rearranging the terms,we have $\pi d - d = 105$,which implies $d(\pi - 1) = 105$.Using $\pi = \frac{22}{7}$,we get $d(\frac{22}{7} - 1) = 105$.$d(\frac{22 - 7}{7}) = 105 \Rightarrow d(\frac{15}{7}) = 105$.$d = 105 	imes \frac{7}{15} = 7 	imes 7 = 49 \, cm$.Therefore,the diameter of the circle is $49 \, cm$.

The diameter of a circle is $105 \, cm$ less than its circumference. What is the diameter of the circle? (in $cm$)

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