Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

The length of a chord is 22 cm and that chord is 5 cm from the center of the circle. What is the length of the diameter ?

Sagot :

jacobEwing

Answer:

The circle's diameter is approximately 24.2 cm

Step-by-step explanation:

You can use the Pythagorean theorem to solve this, my realising that the 5cm distance of the chord represends one side of a right triangle, half the chord's length is the other side, and the hypotenuse of the two is the circle's radius.  With that we can say:

r = √(11² + 5²)

r = √(121 + 25)

r = √146

Now we can double that to get the diameter:

r = 2√146

r ≈ 24.2

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.