Gce Model Questions Vol1 2019 Mathematics Question 30

Practice objective / multiple choice question 30 from the 2019 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2019 Mathematics Objective / Multiple Choice Hard Difficulty
Question 30 GCE_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • objective

A square of side \(10\) cm has a quarter‑circle of radius \(10\) cm drawn inside it with centre at one corner. A circle is inscribed in the quarter‑circle, tangent to the two sides of the square and to the arc of the quarter‑circle. Find the area, in square centimetres, of the region that lies inside the quarter‑circle but outside the inscribed circle. Give your answer in simplest exact form (in terms of \(\pi\) and \(\sqrt{2}\)).

Answer Options

A. pi*(225*sqrt(2)-275)
Correct Answer B. pi*(200*sqrt(2)-275)
C. pi*(200*sqrt(2)-300)
D. pi*(200*sqrt(2)-250)
Correct Answer
B
Correct Option:
pi*(200*sqrt(2)-275)

About This Question

This is Gce Model Questions Vol1 2019 Mathematics Question 30. It is one of the objective questions from the 2019 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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