A circle with diameter 6cm is cut from a square with side length 7cm. What is the remaining area of the square? You may assume pi = 3 for this question.

This is an example of a question that may appear in a calculator paper. In this question the area of the square and circle must be found individually, and the area of the circle subtracted from the area of the square. The area of a circle is equal to pir^2. Students may trip up by not distinguishing between the radius and diameter.
Solution:Area of square = 7cm
7cm = 49cm^2Area of circle = 3*(6/2)^2 = 27cm^2Remaining area = 49-27=22cm^2

LK

Related Maths GCSE answers

All answers ▸

There are 12 counters in a box, 5 red and 7 blue. 2 counters are taken out at random without replacement, what is the probability that they are the same colour?


The point P, (-1,4) lies on a circle C that is centered about the origin. Find the equation of the tangent to the circle at point P.


Solve the simultaneous equations 2x + 3y = 6 - 3x and 5x + 6y = 10 - y.


Solve for y and x, where x=y+1 and y=2x+3