Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Which statements about circle O are true? Select three options. The radius of circle O is 13. The diameter of circle O is 34. LP is a diameter of circle O. ∠LMP intercepts a semicircle. The measure of arc LP is 90°.

Sagot :

ajeigbeibraheem

Answer:

The radius of circle O is 13

LP is a diameter of circle O.

∠LMP intercepts a semicircle.

Step-by-step explanation:

The missing image is attached in the diagram below.

From the diagram;

we can determine the length LP by using the Pythagoras theorem.

i.e.

hypotenuse² = opposite² + adjacent²

LP² = ML² + MP²

LP² = 24² + 10²

LP² = 576 + 100

LP = [tex]\sqrt{676}[/tex]

LP = 26

Since line LP cuts the circle into two equal halves, we can say the line LP is the diameter of circle O.

if the diameter (LP) = 26

Then, the radius r = 26/2 = 13

The radius of circle O is 13.

Similarly, the arc LMP is 180° (∵ inscribed angle is 1/2 the measure of central angle), and LMP is 180°, then ∠LMP intercepts a semicircle.

View image ajeigbeibraheem
gwolf9901

Answer: A) The radius of circle O is 13.

              C) LP is a diameter of circle O.

              D) ∠LMP intercepts a semicircle.

Step-by-step explanation:

om edge

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.