Question 3 - Area of combination of figures : circle based - Chapter 11 Class 10 Areas related to Circles

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Example 5 - Find area of shaded region, ABCD is a square 14cm - Examples

Example 5 - Chapter 12 Class 10 Areas related to Circles - Part 2
Example 5 - Chapter 12 Class 10 Areas related to Circles - Part 3

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Question 3 Find the area of the shaded region in figure, where ABCD is a square of side 14 cm. Area of shaded region = Area of square ABCD – Area of 4 circles Area of square ABCD Side of square = 14 cm Area of square = (side)2 = (14)2 = 14 × 14 = 196 cm2 Area of 4 circles Since ABCD is a square . Hence, AB = BC = CD = AD = 14 cm Now, Diameter of each circle = 𝐴𝐵/2 = 14/2 = 7 cm Radius of each circle = 𝐷𝑖𝑎𝑚𝑒𝑡𝑒𝑟/2 = 7/2 cm Area of one circle = 𝜋𝑟2 = 22/7×(7/2)^2 = 22/7×7/2×7/2 = (11 × 7)/2 = 77/2 cm2 So, Area of 4 circle = 4 × Area of one circle = 4 × 77/2 cm2 = 154 cm2 Area of shaded region = Area of square ABCD – Area of 4 circles = 196 – 154 = 42 cm2

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo