Q1. Calculate the circumference of a circle with a radius of 12cm. (Take π to be 3.14)


Q2. Calculate the diameter of a circle with a circumference of 81.64m. (Take π to be 3.14)

Q3. Calculate the area of a circle with a diameter of 22cm. (Take π to be 3.14)

Q4. The diagram below gives the dimensions in imperial (non metric) units of a standard football pitch, the pitch at Birmingham United FC has a pitch conforming to these dimensions:



At the end of the season which had a lot of home matches, both of the "18 yard boxes" and the "centre circle" are badly in need of reseeding. The ground management bought in 8 industrial size boxes of grass seed, each of which is said to have a coverage of 250 yd²


The grounds keeper believes that it will not be enough to do the job. Use the information given to calculate whether or not you believe he is correct or otherwise, and explain why.


The 18 yard box measures (obviously) 18 yards deep and 18+8+18 = 44 yards wide. Remember that there is an 18 yard box at both ends of the pitch!


The centre circle has a radius of 10 yards, and therefore has an area of:

The total coverage is therefore:

8 boxes of grass seed with an average covering of 250 yd² each will cover approximately 2000 yd²


In this case, the grounds keeper is incorrect as there will be plenty seed to do the job.


Q5. A 16 inch pizza is cut into 8 sections, calculate the area of one of the sections.  (Take π to be 3.14)


"16 inch" pizza of course refers to its diameter, therefore the radius is 8 inches. The area of the whole pizza would be given:

This time we are told that the pizza has been sliced into 8 equal segments/sectors therefore we do not need to apply X / X+Y, we can simply divide the area of the pizza by 8:




Q6. Calculate the area of a sector of a circle with a radius of 7cm an inter radial angle of 32 degrees..  (Take π to be 3.14)



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