Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

Find area of the shaded region, if side of the square ABCD is 14 cm - 

Options:

110 cm²

112 cm²

116 cm²

118 cm²

Correct Answer:

112 cm²

Explanation:

Radius of circle (r) = \(\frac{1}{2}\) × diagonal of ABCD

                             = \(\frac{1}{2}\) × 14\(\sqrt{2}\)

                             = 7\(\sqrt{2}\)

Area of shaded region = Area of circle - Area of square 

                                 = \(\pi\)(r)² - (side)²

                                 = \(\pi\)(7\(\sqrt{2}\))² - (14)²

                                 = 308 - 196

                                 = 112 cm²