Exam-Style Question on Mensuration Algebra
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 238. This question is similar to one that appeared on a IGCSE Extended paper in 2011. The use of a calculator is allowed.
A circle is drawn inside a square so that it touches all four sides of the square.
(a) If the sides of the square are each \(k\) mm in length and the area of the red shaded region is \(A\) mm2 show that:$$4A=4k^2-\pi k^2$$
(b) Make \(k\) the subject of the formula \(4A=4k^2-\pi k^2\)
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
©1997 - 2021 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/