Question

the perimeter of a circle exceeds its diameter by 300 cm . find its diameter

Answer 1

Answer:

140 cm

Step-by-step explanation:

let the diameter be d

& the radius be r

as we know that diameter = 2r

now

according to the question

perimeter = d + 300

but

perimeter of circle = 2πr

=> d + 300 = π2r

=> d + 300 = 22/7 × d

=> d + 300 = 22d/7

=> 300 = 22d/7 - d

=> 300 = (22d - 7d)/7

=> 300 = 15d/7

=> d = 300 × 7/15

=> d = 20 × 7 = 140 cm

Answer 2

Step-by-step explanation:

2πr=300

r=300/2π=150/π

so, diameter =2r=2*150/π=300/π=95.54cm

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