A plan for an observation deck is shown below. The design consists of a major sector $ABCOA\,$ of a circle with centre $O$ , joined to a triangular viewing platform $A O D$ . It is given that:

The radius of the circle $10\text{ m}$
The platform edge $22\text{ m}$
The angle $radians\angle ODA = 0.40\text{ radians}$
$\angle AOD\,$ is an obtuse angle
$OCD\,$ is a straight line

Find:

Plan of the observation deck showing major sector ABCOA and triangular platform AOD, with O, C and D collinear.

the size of angle $A O D$ , in radians, to 3 decimal places,

the length of arc $A B C$ , in metres, to one decimal place,

the total area of the deck, in $m2\text{m}^2$ , to one decimal place.

A plan for an observation deck is shown below. The design consists of a major sector $ABCOA\,$ of a circle with centre $O$ , joined to a triangular viewing platform $A O D$ . It is given that:

The radius of the circle $10\text{ m}$
The platform edge $22\text{ m}$
The angle $radians\angle ODA = 0.40\text{ radians}$
$\angle AOD\,$ is an obtuse angle
$OCD\,$ is a straight line

Find:

Plan of the observation deck showing major sector ABCOA and triangular platform AOD, with O, C and D collinear.

the size of angle $A O D$ , in radians, to 3 decimal places,

the length of arc $A B C$ , in metres, to one decimal place,

the total area of the deck, in $m2\text{m}^2$ , to one decimal place.

3.5 Trigonometry (A-level only)

Question 18

Markscheme

3.5 Trigonometry (A-level only)

Question 18

Markscheme

3.5 Trigonometry (A-level only)

Question 18

3.5 Trigonometry (A-level only) Questions

3.5 Trigonometry (A-level only)

Question 18

3.5 Trigonometry (A-level only) Questions