How do I work out the area of a quarter circle with radius 6cm?

The easiest way to do this is to first work out the area of the whole circle. To work out the area of a circle, the equation is area = πr2 , where r is the radius. So, to work out the area we work out π x 62. For the most accurate answer, we should keep the answer in terms of π . π x 62 = 36π . To calculate the area of a quarter circle, we then need to divide the area by 4, as a quarter circle is 1/4 of a circle. 36π /4 = 9, so the area of the quarter circle is 9π .

CC
Answered by Carla C. Maths tutor

13279 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Let f be a function of a real variable into the real domain : f(x) = x^2 - 2*x + 1. Find the roots and the extremum of the function f.


Tommy, Anna and Jacob all have 40 sweets. they decide to split the sweets between each other in the ratio 1:4:5. Calculate how many sweets each get, rounding down your answer where necessary.


A metal sphere of radius 15cm is melted down and recast into a solid cylinder of radius 6cm. Calculate the height of the cylinder.


How do you work out the circumference and area of a circle?


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