The area of a square is 49cm^2. The perimeter of the square is equal to the circumference of a circle. what is the radius of the circle?

This is a geometry question. 

We know that a square has 4 equal sides of x, and that it's area is given by A=x2

So we can work out the length of the side of the square. 

x=sqrt(49) = 7

We are told this is equal to the circumference of the circle.

The equation for circumference of a circle is, c=2πr 

We need to find r, so we can rearrange this to give; r = c / 2π

Substituting in the value for c =49 cm

we get r = 49 / 2π  = 7.80 cm

*Don't forget units! 

JC
Answered by Julia C. Maths tutor

14960 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is the sum of 3/5 and 7/8?


where do the graphs y=3x^2-2x-5 and y=4x-2 intersect


Find the value of 4a + 3b when a=2 and b=5


A line has equation y = 3x + 4, write down the gradient of the line.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences