DP Mathematics HL Questionbank
Length of an arc; area of a sector.
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- 18M.2.hl.TZ2.4a.i: Find AM.
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- 16N.2.hl.TZ0.9c: Hence find the value of \(r\) given that the shaded area is equal to 4.
- 16N.2.hl.TZ0.9b: Show that \(\alpha = 4\arcsin \frac{1}{4}\).
- 16N.2.hl.TZ0.9a: Find an expression for the shaded area in terms of \(\alpha \), \(\theta \) and \(r\).
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- 12M.2.hl.TZ2.9: Two discs, one of radius 8 cm and one of radius 5 cm, are placed such that they touch each other....
- 08M.1.hl.TZ1.3: A circular disc is cut into twelve sectors whose areas are in an arithmetic sequence. The angle...
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- 09M.1.hl.TZ1.6: The diagram below shows two straight lines intersecting at O and two circles, each with centre O....
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- 09M.2.hl.TZ2.12: (a) Explain why \(x < 40\) . (b) Show that cosθ = x −10 50. (c) (i) Find an...
- 15M.1.hl.TZ1.1b: Find the total length of the perimeter of the logo.
- 15M.1.hl.TZ1.1a: Find, in radians, the value of the angle \(\theta \), as indicated on the diagram.
- 15N.1.hl.TZ0.1: The following diagram shows a sector of a circle where \({\rm{A\hat OB}} = x\) radians and the...
- 15M.2.hl.TZ2.8a: Given that the rope is 5 m long, calculate the percentage of Bill’s field that Gruff is able to...
- 15M.2.hl.TZ2.8b: Bill replaces Gruff’s rope with another, this time of length \(a,{\text{ }}4 < a < 10\), so...
