Which has the greater area, a triangle with a base of 50 feet and a height of 50 feet, or a circle with a diameter of 50 feet? Justify your

Question

Which has the greater area, a triangle with a base of 50 feet and a height of 50 feet, or a circle with a diameter of 50 feet? Justify your answer.

in progress 0
Khánh Gia 4 years 2021-08-14T21:35:24+00:00 2 Answers 17 views 0

Answers ( )

  1. Farah
    0
    2021-08-14T21:36:27+00:00
    Reply

    Answer:

    The circle has a greater area than the triangle.

    Step-by-step explanation:

    Area of a triangle:

    • Aₜ = 1/2bh

    Area of a circle:

    • A꜀ = πr²

    We are given the base and the height of the triangle, 50 ft and 50 ft respectively.

    Substitute these values into the formula for the area of a triangle.

    • Aₜ = 1/2(50)(50)
    • Aₜ = 1/2(2500)
    • Aₜ = 1250 ft²

    The area of the triangle with a base of 50 ft and a height of 50 ft is 1250 ft².

    We are given the diameter of the circle, 50 ft. We need the radius of this circle, so we can divide the diameter by 2 to get r = 25 ft.

    Substitute this value for r into the formula for the area of a circle.

    • A꜀ = π(25)²
    • A꜀ = π(625)
    • A꜀ = 1963.49540849 ft²

    The area of the circle with a radius of 25 ft is 1963 ft².

    Therefore, the circle has a greater area compared to the triangle.

  2. binhan
    0
    2021-08-14T21:37:09+00:00
    Reply

    Answer:

    Apply formula, Calculate and solve

    Step-by-step explanation:

    formula for triangle = ½bh²

    area of circle = πr² here r = radius = diameter/2

    Hope it helped

Leave an answer

Browse

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