To get a full answer we would need the diagram but to solve it I would find the distances between her house and school and add that to the distance from her school to her work then from her work home if Thier isn't information for her distance from work to her home I would double the amount that she already went
The equation of the circle whose center is at the origin and whose diameter is 12.5 is x²+y²=39.0625
<h3>Equation of a circle</h3>
The formula for finding the equation of a circle is expressed as:
(x-a)² + (y - b)² = r²
where
(a, b) is the centre
r is the radius
Given the following
(a, b) = (0, 0)
r = 12.5/2 = 6.25
Substitute
(x-0)² + (y - 0)² = 6.25²
x²+y²=39.0625
Hence the equation of the circle whose center is at the origin and whose diameter is 12.5 is x²+y²=39.0625
Learn more on equation of a circle here: brainly.com/question/1506955
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The Cartesian equivalent of the polar coordinates (r, theta) is
(r cos t, r sin t), where t = theta.
So, (2, 3pi/4) becomes
(2 cos(3pi/4), 2 sin(3pi/4))
(2 • -sqrt{2}/2, 2 • sqrt{2}/2)
Answer: (-sqrt{2}, sqrt{2})
Done.
Note: sqrt = square root for short.