Determine the value of a, the arc length in inches intercepted by the angle with a measure of 2.1 radians, given that the radius of the circ

Question

Determine the value of a, the arc length in inches intercepted by the angle with a measure of 2.1 radians, given that the radius of the circle is 7 inches.

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Piper 6 days 2021-10-12T20:38:04+00:00 1 Answer 0

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    2021-10-12T20:39:50+00:00

    Answer:

    Step-by-step explanation:

    The formula for determining the length of an arc is expressed as

    Length of arc = θ/360 × 2πr

    Where

    θ represents the central angle.

    r represents the radius of the circle.

    π is a constant whose value is 3.14

    From the information given,

    Radius, r = 7 inches

    θ = pi/4

    2π = 360 degrees

    180 degrees = π radians

    1 radian = 180/π

    2.1 radians = 2.1 × 180/π = 120.38 degrees

    Therefore,

    Length of arc = 120.38/360 × 2 × 3.14 × 7

    Length of arc = 14.7 inches rounded up to 1 decimal places

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45:7+7-4:2-5:5*4+35:2 =? ( )