Lesson Worksheet: Inscribed Angles in a Circle Mathematics • 11th Grade

In this worksheet, we will practice identifying theorems of finding the measure of an inscribed angle with respect to its subtended arc or central angle subtended by the same arc and the measures of inscribed angles in a semicircle.

Q1:

Find π‘šβˆ π΄πΆπ·.

Q2:

From the figure, what is π‘₯?

Q3:

Given that π‘šβˆ π΄π‘€π·=41.5∘, find π‘šβˆ π΅ in degrees.

Q4:

Find π‘šβˆ π·πΆπ΅.

Q5:

Given that π‘šβˆ π΅π΄πΆ=(π‘₯+15)∘, find π‘₯.

Q6:

Given that 𝐴𝐢=8cm and the radius =8cm, find the area of △𝐴𝐡𝐢 rounded to the nearest integer.

Q7:

In the figure, 𝐡𝐷 is a diameter. What is π‘šβˆ π΄πΆπ·?

Q8:

Given that π‘šβˆ πΆπ΄π΅=64∘, find π‘šβˆ πΆπ΅π·.

Q9:

Given that π‘šβˆ πΆπ΄π΅=31∘, find 𝑦 and π‘₯.

  • A𝑦=59, π‘₯=90
  • B𝑦=31, π‘₯=90
  • C𝑦=31, π‘₯=59
  • D𝑦=90, π‘₯=59

Q10:

Given that π‘šβˆ π΄π΅πΆ=(6π‘₯+15)∘ and π‘šβˆ πΆπ΄π΅=(11π‘₯βˆ’10)∘, find the value of π‘₯.

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