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10 August, 14:35

A circular logo has a 50° sector shaded orange and a 160° sector shaded blue. The radius of the logo is 6 inches. What us the total area shaded orange or blue?

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  1. 10 August, 18:32
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    The total area of the logo shaded orange or blue is 66 inches^2

    Step-by-step explanation:

    To calculate the area shaded orange or blue, we use the formula that calculates the area of a sector since we know the angle subtended at the centre of the circle by way of the colors

    Mathematically, the formula to use is;

    A = θ/360 * π * r^2

    where θ represents the angle subtended at the center and r is the radius of the circle.

    For the sector shaded orange, the area will be

    A = 50/360 * 22/7 * 6^2 = 110/7 inches^2

    For the sector shaded blue, the area will be

    A = 160/360 * 22/7 * 6^2 = 352/7 inches^2

    The total area shaded orange or blue is thus the addition of both areas which is mathematically equal to 352/7 + 110/7 = 462/7 = 66 inches^2
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