Q. 124.0( 4 Votes )

# The area of the sector of a circle of radius 10.5 cm is 69.3 cm^{2}. Find the central angle of the sector.

Answer :

Consider the circle shown above,

We know , Area of sector

Where R = radius of the circle and θ = central angle

Given R = 10.5 cm and Area of sector = 69.3 cm^{2}

Let the angle subtended at centre = θ

Put the values of R and area of sector in equation 1

⇒θ = 72^{°}

The central angle of the sector is 72^{°}.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

RD Sharma | Area of Sector and Segment61 mins

RD Sharma | Area of Sector and Segments25 mins

Champ Quiz | Area Related with the Circle45 mins

Throwing the Light on Area of Sector43 mins

Surface Area and Volume49 mins

Surface Area and Volumes43 mins

Areas Related to Circle36 mins

RD Sharma | Imp Concepts : Surface Area And Volumes43 mins

RD Sharma | Imp. Qs. From Surface Area And Volumes47 mins

Quiz | Surface Area and Volumes42 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation