The area of a square is 49cm^2. The perimeter of the square is equal to the circumference of a circle. Work out the radius of the circle. Give your answer to 1 decimal place.

Area of a square (As) = Side length (L)2

L = square root As

L = square root 49

L = 7 cm

Perimeter (P) = 4L

P = 4 x 7

P = 28 cm

P = Circumference (C)

C = 28 cm

C = 2pi x Radius (r)

r = C / (2pi)

r = 28 / (2pi)

r = 4.45...

r = 4.5 (1 d.p.)

WD
Answered by William D. Maths tutor

15785 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A box contains an assortment of 100 coloured marbles, coloured red, blue and green. The ratio of blue balls to green balls is 1:3. If there are 16 red balls in the box, what is the ratio of red balls to green balls, and red balls to blue balls?


x is inversely proportional to P. When P = 6, x =2. What does x = when P = 4?


When do I use Sin, Cos or Tan?


What is a coordinate?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning