Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

ABCD is a square of side 21 cm. A circle is inscribed in the square, which touches the sides of the square at P, Q, R and S as shown below in the figure. What is the area (in cm2) of the non-shaded region? [Figure is not drawn to scale.] $(π = \frac{22}{7})$

Options:

88.4

84.6

90.7

94.5

Correct Answer:

94.5

Explanation:

Area of square = 21 × 21 = 441 cm²

Radius of circle = \(\frac{21}{2}\) = 10.5 cm

Area of circle = πr²

= \(\frac{22}{7}\) ×  10.5 × 10.5

= 346.5 cm²

Area od non - shaded region = 441 - 346.5

= 94.5 cm²