DP Mathematics: Applications and Interpretation Questionbank

A footpath is to be laid around the curved side of the lawn. Find the length of the footpath.

Find the area of the lawn.

Calculate the length of arc $\text{AC}$.

Calculate the area of the shaded sector, $\text{AOC}$.

Write down the height of the endpoint of the minute hand above the bookshelf at $6:00$ am.

Find the size of angle $\theta$ in degrees.

Write down the perimeter of the base of the hat in terms of $\mathrm{\pi }$.

Find the value of $\theta$.

Find the surface area of the outside of the hat.

Calculate the length of the arc made by $\text{B}$, the end of the rubber blade.

Determine the area of the windscreen that is cleared by the rubber blade.

Use Sam’s measurements to calculate the area of the sector. Give your answer to four significant figures.

Find the area of the shaded segment.

Find the angle $\text{AÔB}$.

Find the area of the field that can be reached by the goat.

Find the angle $\text{AÔB}$.

Find the area of the shaded segment.

The following diagram shows the chord [AB] in a circle of radius 8 cm, where $\text{AB}=12\text{ cm}$.

Find the area of the shaded segment.

Boat A is situated 10km away from boat B, and each boat has a marine radio transmitter on board. The range of the transmitter on boat A is 7km, and the range of the transmitter on boat B is 5km. The region in which both transmitters can be detected is represented by the shaded region in the following diagram. Find the area of this region.

Helen is building a cabin using cylindrical logs of length 2.4 m and radius 8.4 cm. A wedge is cut from one log and the cross-section of this log is illustrated in the following diagram.

Find the volume of this log.