During a practical activity in Maths lab, students were using circular Geo board the angle subtended by an arc - Maths - Circles

Question

During a practical activity in Maths lab, students were using
circular Geo board the angle subtended by an arc at the centre is
(2a + 500) Sakshi calculated angle BAC as (a +
250)
1) Is her finding correct? justify it
2) Find angle BAC, If a = 300

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_56cb5a0c44b0f%20jpg"
style="width: 220px; height: 202px;">
1 Yes , her finding is correct 
As angled subtended by an arc at centre is double of angle subtended by arc at any point on the circle 
So , ∠BAC=2a+50°2=a+25°2 ∠BAC=a+25°=30°+25°=55° 
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During a practical activity in Maths lab, students were using circular Geo board. the angle subtended by an arc at the centre is (2a + 500). Sakshi calculated angle BAC as (a + 250). 1) Is her finding correct? justify it. 2) Find angle BAC, If a = 300.

During a practical activity in Maths lab, students were using circular Geo board. the angle subtended by an arc at the centre is (2a + 50⁰). Sakshi calculated angle BAC as (a + 25⁰).
1) Is her finding correct? justify it.
2) Find angle BAC, If a = 30⁰.