Imagine a sector of a circle called AOB. With center O and radius rcm. The angle AOB is R in radians. The area of the sector is 11cm². Given the perimeter of the sector is 4 time the length of the arc AB. Find r.

11 = 1/2 r2RAB = x = rRr + r + x = 4x2r = 3rRR = 2/3r²R = 22r² = 33r = √33

AS
Answered by Alice S. Maths tutor

5131 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

y = 4sin(x)cos(3x) . Evaluate dy/dx at the point x = pi.


Find the turning points and their nature of the graph y = x^3/3 - 7x^2/2 + 12x + 4


Using Pythagoras' theorem, show that sin^2(x)+cos^2(x)=1 for all x.


If y=2x+4x^3+3x^4 and z=(1+x)^2, find dy/dx and dz/dx.


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