Question

In circle O BC=17 and DC=30 what is the length of diameter

Answer 1

Answer:

35.94

Step-by-step explanation:

Given In circle O, BC=17 and DC=30 to find the length of diameter ?

 We can use pythagoras theorem AC ^2 = AB ^2 + BC ^2

           here we can take as AC = 17 + r, AB = 30, BC = r

           (17 + r ) ^2 = (30) ^2 + r ^2

     (17) ^2 + r ^2 + 2(17)r = 900 + r ^2 (by taking (a + b) ^2 = a ^2 + 2ab + b ^2)

      289 + r ^2 + 34 r = 900 + r ^2

         34 r = 900 - 289

          34 r = 611

           r = 611 / 34

         r = 17.9

Now we know diameter is twice the radius

   So d = 2 x r = 17.9 x 2

        diameter = 35.94 units

^

Answer 2

Answer:35.9

Step-by-step explanation: just took test