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
Related Maths GCSE answers
All answers ▸If I toss a coin 3 times what is the probability of it landing on heads at least once?
I set up a tent (assume it’s a regular triangular prism) of length 2.2m. The triangular face of the tent is an isosceles triangle. The two identical sides are both 1.4m long and have an angle of 34degrees between them. Work out the volume of the tent -3sf
Given that x : y = 7 : 4 and x + y = 88, calculate x - y.
Show that (x+1)(x+2)(x+3) can be written in the form ax^3 +bx^2 + cx + d where a,b,c,d are positive integers.