Question

the sum of the circumference and the radius of circle is 127.5 cm find the diameter and the circumference of the circle​

Answer 1

Answer:

The diameter of the circle is 35 cm

The circumference of the circle is 110 cm

Step-by-step explanation:

Let, the radius of the circle is r cm

Then, circumference of the circle is 2πr cm

the sum of the circumference and the radius of circle is 127.5 cm

Then, 2πr + r = 127.5

=> r(2π+1) = 127.5

=> r{ (2×22/7)+1} = 127.5

=> r (51/7) = 127.5

=> r = 127.5 × 7/51

=> r =( 1275×7)/(51×10)

=> r = (25×7)/10

=> r = 175/10

=> r = 17.5

The radius of the circle is 17.5 cm

The diameter of the circle is (2×17.5) = 35 cm

The circumference of the circle is (2π×17.5) = 2×(22/7)×175/10 = (2×22×25)/10 = 1100/10 = 110 cm