Answer :

Given: Radius of the circle = 3 cm and angle subtended by the arc = 90°


Area of the segment ARB = area of sector OARB – area of triangle OAB


We know that the area of the minor sector


Area of ABDC


Area of ABDC = 7.071428cm2


In ∆ABC,


A = 90°, AB = AC = 3 cm {radius of the circle}


∆ABC is a right angled triangle.


Area of ∆ABC


Area of ∆ABC


Area of ∆ABC = 4.5cm2


Area of the segment BDC = area of sector ABDC – area of triangle ABC


Area of the segment BDC = 7.071428 – 4.5


Area of the segment BDC = 2.57cm2


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigo Marathon Part 1Trigo Marathon Part 1Trigo Marathon Part 146 mins
Trigo Marathon Part 2Trigo Marathon Part 2Trigo Marathon Part 245 mins
Application of Trigo Important QuestionsApplication of Trigo Important QuestionsApplication of Trigo Important Questions44 mins
Arithmetic Progression and 'nth' Term of APArithmetic Progression and 'nth' Term of APArithmetic Progression and 'nth' Term of AP55 mins
History - Concept and QuestionsHistory - Concept and QuestionsHistory - Concept and Questions57 mins
Revision on Substitution and  Elimination MethodRevision on Substitution and  Elimination MethodRevision on Substitution and Elimination Method44 mins
Outcomes of DemocracyOutcomes of DemocracyOutcomes of Democracy43 mins
Refraction of Light-2Refraction of Light-2Refraction of Light-241 mins
Reflection of light-2Reflection of light-2Reflection of light-238 mins
Economics - Concept and QuestionsEconomics - Concept and QuestionsEconomics - Concept and Questions59 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 :

A chord of a circRajasthan Board Mathematics

<span lang="EN-USRajasthan Board Mathematics

If the sum of cirRajasthan Board Mathematics

The length of theRajasthan Board Mathematics

A sector of a cirRajasthan Board Mathematics

The length of an Rajasthan Board Mathematics

Find the area of Rajasthan Board Mathematics

In a circle of raRajasthan Board Mathematics

In the given figuRajasthan Board Mathematics

The circumferenceRajasthan Board Mathematics