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To find the radius of a circle when given the circumference, we can use the formula for the circumference of a circle: C = 2πr, where C is the circumference and r is the radius.

Given that the circumference of the circle is 90 cm more than the diameter, we can write the equation as: C = d + 90, where d is the diameter.

Substituting the formula for the circumference into the equation, we get: 2πr = d + 90.

We also know that the diameter is twice the radius, so we can write d = 2r.

Substituting this into the equation, we get: 2πr = 2r + 90.

Solving for r, we get: r = 45 / (π - 1).

So, the radius of the circle is 45 / (π - 1) cm.

45/(22/7)-1

=45/2.14

r=21.02

Answer
Let circumference=2πr & diameter=2r. ATQ,. 2πr-2r=90 cm. Then,2r(π-1)= 90. or, 2r= 90/(π-1). r=45/(π-1). or,r=45/[(22/7)-1]=45/[15/7]=(45*7)/15=21 cm
Answer

Circumference-Diameter=90

2*Pi*r-2r=90 

2r(Pi-1)=90  

r(Pi-1)=90/2

r(22/7 -1)=45 

r[(22-7)/7]=45

r(15/7)=45 

r=(45x7)/15

r=3x7

r=21cm

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