OCR MEI C2 2012 June — Question 5 5 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2012
SessionJune
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicRadians, Arc Length and Sector Area
TypeSector area calculation
DifficultyModerate -0.3 This is a straightforward application of the sector area formula A = ½r²θ, requiring algebraic rearrangement to find r, then using r and θ to calculate perimeter (2r + rθ). Standard C2 question with clear given values and routine calculations, slightly easier than average due to direct formula application.
Spec1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta

5 A sector of a circle has angle 1.6 radians and area \(45 \mathrm {~cm} ^ { 2 }\). Find the radius and perimeter of the sector.

5 A sector of a circle has angle 1.6 radians and area $45 \mathrm {~cm} ^ { 2 }$. Find the radius and perimeter of the sector.

\hfill \mbox{\textit{OCR MEI C2 2012 Q5 [5]}}