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

15342 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

x^2-x-12


work out: ( 4 × 10^3 )^2 + 3.5 × 10^7 and give your answer in standard form.


Factorise x^2 - 8x - 20


Edexcel 2017, Q8) A square, with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 49cm. Work out x.


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