The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. What is the distance between the ball

Question

The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. What is the distance between the ball and the rim in a shot in which the ball goes exactly in the center of the rim? Show your work.

in progress 0
RI SƠ 4 years 2021-08-31T07:01:30+00:00 2 Answers 183 views 0

Answers ( )

  1. Cherry
    0
    2021-08-31T07:02:31+00:00
    Reply

    Diameter of the basketball rim = 18 inches

    Circumference of the standard basketball = 30 inches

    Area of circle = π r²  

    Basketball rim = 3.14 * (18/2)² = 3.14 * 9² = 3.14 * 81 = 254.34 in²

    Circumference of a circle = 2 π r

    30 = 2 * 3.14 * r

    r = 30 / (2*3.14) = 30 / 6.28 = 4.78 inches

    Standard basketball = 3.14 * (4.78)² = 3.14 * 22.85 = 71.75 in²

    254.34 – 71.75 = 182.59 in²

  2. Ben
    0
    2021-08-31T07:02:44+00:00
    Reply

    Answer:

    4.2 inches

    Step-by-step explanation:

    Basketball rim:

    diameter = 18 inches

    r = 18/2 = 9 inches

    Ball:

    Circumference of ball = 30 inches

    2πr = 30 inches

    2*3.14*r = 30\\\\r = \frac{30}{2*3.14}\\\\r = 4.8 inches

    Distance between the ball and the rim in a shot when the ball goes exactly in the center of the rim = radius of the rim – radius of the ball

       = 9 – 4.8

       = 4.2 inches

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )