What is the center of a circle represented by the equation (x-5)^2+(y+6)^2=4^2

(5, - 6)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 5)² + (y + 6)² = 4² ← is in standard form

with (h, k) = (5, - 6) ← centre of circle

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

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step-by-step explanation: