OCR MEI C2 — Question 9 4 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicRadians, Arc Length and Sector Area
TypeSector area calculation
DifficultyModerate -0.8 This is a straightforward application of the standard arc length formula (s = rθ) to find r, followed by direct substitution into the sector area formula (A = ½r²θ). Both are basic recall formulas with simple arithmetic, making this easier than average but not trivial since it requires two steps.
Spec1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta
9 A sector of a circle has an angle of 0.8 radians. The arc length is 5 cm . Calculate the radius of the circle and the area of the sector.
Question 9:
AnswerMarks Guidance
\(s = r\theta \Rightarrow 5 = 0.8r\)M1
\(\Rightarrow\) radius \(= 6.25\) cmA1 Total: 2
\(A = \frac{1}{2}r^2\theta \Rightarrow A = \frac{1}{2} \times 0.8 \times 6.25^2\)M1
\(\Rightarrow\) Area \(= 15.625\) cm\(^2\)A1 Total: 2 
## Question 9:

$s = r\theta \Rightarrow 5 = 0.8r$ | M1 |

$\Rightarrow$ radius $= 6.25$ cm | A1 | **Total: 2**

$A = \frac{1}{2}r^2\theta \Rightarrow A = \frac{1}{2} \times 0.8 \times 6.25^2$ | M1 |

$\Rightarrow$ Area $= 15.625$ cm$^2$ | A1 | **Total: 2**

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9 A sector of a circle has an angle of 0.8 radians. The arc length is 5 cm . Calculate the radius of the circle and the area of the sector.

\hfill \mbox{\textit{OCR MEI C2  Q9 [4]}}
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