Answer :


Area of shaded region = Area of quadrant OBPQ


– Area of square OABC


Area of square OABC


Given: Side of square = 20cm


Area of square = Side × Side


= 20 × 20


= 400 cm2


Area of quadrant


We need to find the radius


Joining OB


Also, all angles of a square are 90°


∴∠BAO = 90°


Hence, ΔOBA is a right triangle


In ΔOBA, by Pythagoras Theorem


(Hypotenuse)2 = (Perpendicular)2 + (Base)2


(OB)2 = (AB)2 + (OA)2


(OB)2 = (20)2 + (20)2


(OB)2 = 400 + 400


(OB)2 = 800


OB = √(10×10×2×2×2)


OB = 20√2cm





= 628 cm2


Area of shaded region = Area of quadrant OBPQ


– Area of square OABC


= 628 – 400


= 228cm2


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Introduction to Linear Equations in Two VariablesIntroduction to Linear Equations in Two VariablesIntroduction to Linear Equations in Two Variables62 mins
Nelson Mandela : Long Walk to FreedomNelson Mandela : Long Walk to FreedomNelson Mandela : Long Walk to Freedom42 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find the area of RS Aggarwal - Mathematics