Question

the circumference of circle exceeds the diameter by 75 cm find the radius and diameter of the circle​

Answer 1

2πr-2r= 75cm

2r(π-1)=75cm

r=75/{2(π-1)}cm

D=75/(π-1) cm

Answer 2

Answer:

Radius = 17.5 Cm

Diameter = 35 Cm

Step-by-step explanation:

Given---> Circumference of a circle exceeds the diameter by 75Cm .

To find---> Find the radius and diameter of circle.

Solution---> We know that ,

Circumference of circle = 2 π × radius

Diameter of circle = 2 × radius

Let radius of circle be r, then,

Circumference of circle = 2 π r

Diameter of circle = 2 r

Now , ATQ,

Circumference of circle exceeds the diameter by 75 Cm .

So,

Circumference of circle = Diameter of circle + 75

=> 2 π r = 2r + 75

=> 2 π r - 2 r = 75

=> 2 r ( π - 1 ) = 75

=> 2 r { ( 22/7 ) - 1 } = 75

=> 2 r { ( 22 - 7 ) / 7 } = 75

=> 2 r ( 15 / 7 ) = 75

=> 30 r / 7 = 75

=> r = 75 × 7 / 30

=> r = 5 × 7 / 2

=> r = 35 / 2

=> r = 17.5 Cm

Radius of circle = r = 17.5 Cm

Diameter of circle = 2 r

= 2 ( 17.5 )

= 35 Cm

hope it helps