O-LevelMathematicsMensuration4024/12 · May/June 2019 · Q234 Marks
The diagram shows two circles, both with centre O. The radius of the small circle is 3 cm and the radius of the large circle is 6 cm. The minor sector AOB has an angle of 60°. The total area of the shaded regions is kπ cm². Find the value of k. [Figure of concentric circles with shaded regions]
- Find the value of k.[4]
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Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [4] 24
- [M1] for (60/360) × π × 3² oe
- [M2] AND for (300/360) × π × (6² - 3²) oe
- [M2] or π × 6² - π × 3² - (60/360) × π × (6² - 3²) oe
- [M1] or for (300/360) × π × 6² oe or (300/360) × π × 3² oe
- [M1] or π × 6² oe or π × 3² oe
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