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In circle K , diameter CD is drawn and point E is located on the circle such that CE=16 and DE=30 .What is the length of the radius of circle K?

User Prasham
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1 Answer

3 votes

Answer:

The length of the radius of the circle K is
17\ units

Explanation:

we know that

The triangle CDE is a right triangle with the 90 degree angle at point E

so

Applying the Pythagoras Theorem

Find the length of CD (diameter of the circle K)


CD^(2)=CE^(2)+DE^(2)

substitute the values


CD^(2)=16^(2)+30^(2)


CD^(2)=1,156


CD=34\ units

Find the radius

Remember that the radius is half the diameter

so


r=34/2=17\ units

User Arkir
by
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