Mathematics

Question

PLS HELP ME
How do you find the radius???
PLS HELP ME How do you find the radius???

1 Answer

  • Answer:

    r = 15

    Step-by-step explanation:

    Using Pythagoras' identity in the right triangle OAB

    with OM and OB the radii r of the circle

    OA² = OB² + AB²

    (r + 10)² = r² + 20² ← expand left side using FOIL

    r² + 20r + 100 = r² + 400 ( subtract r² from both sides )

    20r + 100 = 400 ( subtract 100 from both sides )

    20r = 300 ( divide both sides by 20 )

    r = 15

NEWS TODAY