the circumference of a circle exceeds the diameter by 75 cm find the radius and diameter of the circle
Answers
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
Answer:
refer to the above attachment for your answer dear army
