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1.8.1 Trigonometric definitions, rules and radians

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Question 15

A designer is creating a custom metal plate in the shape of a logo, PQRSPPQRS PPQRSP. The logo consists of a major sector PQROPQROPQRO of a circle with centre OOO and radius 12 cm12\text{ cm}12 cm, joined to a triangle POSPOSPOS. The point SSS lies on the radius OROROR. The length of the straight edge PSPSPS is 10 cm10\text{ cm}10 cm and the angle POSPOSPOS is 0.75 radians0.75\text{ radians}0.75 radians.

a.

Find the area of the major sector PQROPQROPQRO, giving your answer to one decimal place.

[2]
b.

Given that the angle PSOPSOPSO is obtuse,

find the size of angle PSOPSOPSO in radians, giving your answer to 3 decimal places.

[3]
c.

Determine the total perimeter of the shape PQRSPPQRS PPQRSP, giving your answer to one decimal place.

[4]

1.8.1 Trigonometric definitions, rules and radians Questions

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  3. /1.8.1 Trigonometric definitions, rules and radians