Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5. 2 Find the area of the sector if the r

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Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5. 2 Find the area of the sector if the radius is 8cm show your work below 2 2 Show your work below. You have responded to 0 of 7 questions. Question Details Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5.

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Gerda 3 years 2021-09-03T07:43:36+00:00 1 Answers 9 views 0

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  1. thienthi
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    2021-09-03T07:44:54+00:00
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    Answer:

    (a)\ (x+6)^2 + (y-5)^2 = 25

    (b)\ Area = 16.75cm^2

    Step-by-step explanation:

    Solving (a):

    Given

    (a,b) = (-6,5)

    r = 5

    Required

    The equation of the circle

    This is calculated as:

    (x-a)^2 + (y-b)^2 = r^2

    So, we have:

    (x--6)^2 + (y-5)^2 = 5^2

    (x+6)^2 + (y-5)^2 = 25

    Solving (b):

    Given

    r = 8cm

    \theta = 30^o — Missing from the question

    Required

    The area of the sector

    This is calculated using:

    Area = \frac{\theta}{360} * \pi r^2

    So, we have:

    Area = \frac{30}{360} * 3.14 * 8^2

    Area = \frac{1}{12} * 200.96

    Area = 16.75cm^2

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