The Student Room Group

area a circle

A is in the shape of a quarter circle of a radius of 15cm. B is in the shape of a circle. the area of shape A is 9x the area of B. show that the radius of B is 2.5cm

Scroll to see replies

what have you done so far?
I just dont understand it can you go over the steps please?
work out the area of shape a first
Original post by midnightsprinkle
A is in the shape of a quarter circle of a radius of 15cm. B is in the shape of a circle. the area of shape A is 9x the area of B. show that the radius of B is 2.5cm


Start by working out the area of A
ok did it
what did you get?
i got 706.85
so 706.85 is 9 times bigger than the area of circle b, so how would you work out the area of circle b?
i dont know to be honest!
if area of a is 9x greater than b, then what would area of b be?
area b x 9 = 706.85...
then what is area b
(edited 1 year ago)
do you divide 706.85 by 9??
yes
Original post by midnightsprinkle
do you divide 706.85 by 9??

Yes. Remember though A is only a quarter of a circle so you need to do something with that first
i got 78.53, but i rounded it down to 78.50
Original post by midnightsprinkle
i got 78.53, but i rounded it down to 78.50

you can then divide that by 4 as a is a quarter of a circle.
i got 19.60
Original post by midnightsprinkle
i got 19.60


So 19.6 is equal to what?
Original post by midnightsprinkle
i got 19.60

ok, so then 19.6 = pi r squared for circle b...
you can work out the radius now
(edited 1 year ago)
shape B??

Quick Reply

Latest