Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Start Practicing

Worksheet: Intersection of Chords and Tangents in a Circle

Q1:

Find the value of 𝑧 .

Q2:

Given that , find the value of .

  • A
  • B
  • C
  • D

Q3:

Find π‘š ∠ π‘₯ .

Q4:

Find π‘š ∠ π‘₯ .

Q5:

Given that οƒͺ 𝐡 𝐢 is a tangent to the circle, find π‘š ∠ 𝐴 𝐡 𝐢 .

Q6:

Find the value of π‘₯ .

Q7:

Find the value of π‘₯ .

Q8:

The circle in the given figure has an arc with a measure of 8 8 ∘ .

What is the measure of the central angle?

What is the measure of the inscribed angle?

What is the measure of the circumscribed angle?

Q9:

Find π‘š ∠ 𝐡 𝐴 𝐢 .

  • A 2 3 9 ∘
  • B 1 2 1 ∘
  • C 5 9 ∘
  • D 6 2 ∘
  • E 2 4 2 ∘

Q10:

Given that π‘š ∠ 𝐴 = 3 1 ∘ , find π‘₯ .

Q11:

Given that, in the shown figure, 𝑦 = ( π‘₯ βˆ’ 2 ) and 𝑧 = ( 2 π‘₯ + 2 ) , determine the value of π‘₯ .

Q12:

Given that, in the shown figure, 𝑦 = ( π‘₯ βˆ’ 4 ) and 𝑧 = ( 2 π‘₯ + 2 ) , determine the value of π‘₯ .

Q13:

Determine π‘š 𝐢 𝐡 .

Q14:

In the given figure, π‘š 𝐢 𝐸 βˆ’ π‘š 𝐡 𝐷 = 1 0 4 ∘ . Determine π‘š ∠ 𝐴 .

Q15:

In the given figure, find π‘š 𝐴 𝐢 + π‘š 𝐡 𝐷 .

Q16:

In the given figure, find π‘š 𝐴 𝐢 + π‘š 𝐡 𝐷 .

Q17:

Find π‘₯ .

Q18:

Find .

  • A
  • B
  • C
  • D
  • E

Q19:

Find .

  • A
  • B
  • C
  • D
  • E