O-LevelAdditional MathematicsCircular measure4037/22 · May/June 2018 · Q66 Marks
In the diagram, ABC is an arc of the circle centre O, radius 5 cm, and angle AOC is 1.5 radians. AD and CE are diameters of the circle and DE is a straight line. [Figure 6.1]
- (i)Find the total perimeter of the shaded regions.[3]
- (ii)Find the total area of the shaded regions.[3]
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Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [M1] (Arc length = ) 1.5 × 5 oe soi
- [M1] (DE =) 10sin(0.75) oe soi
- [A1] 34.3 or answer in range 34.31 to 34.32
- [M1] (Area sector = ) ½ × 5² × 1.5 oe
- [M1] (Area triangle =) ½ × 5² × sin(1.5) oe
- [A1] 31.2 or answer in range 31.21 to 31.22
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