3.4.1 Trigonometry (A-level only)

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Question 17

An artist is designing a corporate logo. The design consists of a sector $D O C$ of a circle with centre $O$ and radius $O D$ . This is joined to a major sector $A O B E A$ of a smaller circle, also with centre $O$ and radius $O A$ . The points $A$ and $B$ lie on the line segments $O D$ and $O C$ respectively, such that $O$ , $A$ , $D$ and $O$ , $B$ , $C$ are collinear.

Given that:

angle $A O B = 0.82$ radians
arc length $20.5\text{ cm}$
the ratio of lengths $D A : A O = 7 : 3$

Show that $7.5\text{ cm}$ .

[3]

Calculate the perimeter of the logo, in cm, to 3 significant figures.

[4]

Calculate the total area of the logo, in $cm2\text{cm}^2$ , to the nearest whole number.

[3]

3.4.1 Trigonometry (A-level only) Questions

A Level
Maths
3.4.1 Trigonometry (A-level only)

A Level
Maths CCEA
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