Circles, Arcs & Sectors Practice Questions

Write down the mathematical name of the straight line $AB$.

Write down the mathematical name of the straight line that touches the circle at $T$.

On the diagram, draw and shade a sector of the circle.

Work out the circumference of the circle.

Give your answer correct to 1 decimal place.

........................................... cm

Work out the area of the circle.

Give your answer correct to 1 decimal place.

........................................... cm$^2$

Work out the length of the arc of the sector.

Give your answer correct to 1 decimal place.

........................................... cm

Work out the area of the sector.

Give your answer correct to 1 decimal place.

........................................... cm$^2$

Work out the diameter of the mat.

Give your answer correct to 2 decimal places.

........................................... m

Work out the area of the mat.

Give your answer correct to 1 decimal place.

........................................... m$^2$

Work out the area of the flower bed.

Give your answer correct to 2 decimal places.

........................................... m$^2$

Amir is going to put edging all the way around the flower bed.

Work out the total length of edging Amir needs.

Give your answer correct to 1 decimal place.

........................................... m

Work out the area of the metal plate.

Give your answer in terms of $\pi$.

........................................... cm$^2$

Work out the perimeter of the metal plate.

Give your answer correct to 1 decimal place.

........................................... cm

Show that the angle of the sector is $95.5°$, correct to 1 decimal place.

Work out the area of the sector.

Give your answer correct to 3 significant figures.

........................................... cm$^2$

Is 6 bags of gravel enough to cover the patio completely?

You must show all your working.

Each bag of gravel costs $£6.40$

Work out the total cost of the gravel Priya needs to cover the patio completely.

£ ...........................................