Q. 43.9( 16 Votes )

# In a circle of ra

Answer : Given: Radius of the circle = 21 cm and angle subtended by the arc = 60°

(i) We know that the length of the arc Length of BDC (ii) We know that the area of the minor sector Area of ABDC Area of ABDC = 231cm2

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

In ∆ABC,

A = 60°, AB = AC = 21 cm {radius of the circle}

ABC = ACB {angles opposite to equal sides are equal}

By the angle sum property of the triangle,

ABC + ACB + A = 180°

2ABC = 180° - 60°

ABC = 60°

Hence, ∆ABC is an equilateral triangle.

Area of a equilateral triangle where a is the side of it.

Area of ∆ABC Area of ∆ABC = 190.95cm2

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

Area of the segment BDC = 231 – 190.95

Area of the segment BDC = 40.05cm2

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 245 mins  Trigo Marathon Part 146 mins  Application of Trigo Important Questions44 mins  Command on Chemical Equation57 mins  Mastering Chemical Reaction - 161 mins  Arithmetic Progression and 'nth' Term of AP55 mins  Mastering Chemical Reaction - 261 mins  How to Revise Chemistry45 mins  Chemical Properties of Metal and Non Metal61 mins  Extraction of Metal56 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 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

In the given figuRajasthan Board Mathematics

The circumferenceRajasthan 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