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CBSE Class 9 Answered

I didn't understood the sentence " The degree measure of a minor arc is the measure of the central angle subtended by the arc." Please help me with a diagram.
Asked by parthapratimdeori1998 | 17 Feb, 2016, 11:08: AM
answered-by-expert Expert Answer
" The degree measure of a minor arc is the measure of the central angle subtended by the arc."

The degree measure of a minor arc of a circle is the measure of its corresponding central angle.

The angle made at the centre of a circle by the radii at the end points of an arc is called the central angle or angle subtended by an arc at the centre.

Look at the figure given below.

 

Here ACB is the minor arc.

begin mathsize 14px style angle AOB space is space the space angle space subtended space by space the space minor space arc space ACB angle AOB space equals space 50 degree therefore The space degree space measore space of space minor space arc space ACB space equals space 50 degree end style

(Degree measure of the arc is equal to the measure of central angle) 


Answered by Priti Shah | 17 Feb, 2016, 03:09: PM

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