Write an equation or inequality that tells whether each point is inside, outside, or on th circle with a radius of 10 and centered at (0,0).
a.(6,8) b.(7,7) c.(-7,-7)
d.(-6,8) e.(-7,8) f.(-7,-8)
IDK... my BFF Jill?
i have the same problem and im stuck too
this is due tomorrow
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Folow the equation a squared + b squared = d squared
To determine whether a point is inside, outside, or on a circle with a radius of 10 centered at (0, 0), you can use the distance formula to calculate the distance between each point and the center of the circle.
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the center of the circle is (0,0), so the distance formula simplifies to:
d = sqrt(x^2 + y^2)
To determine whether a point is inside the circle, the distance between the point and the center must be less than the radius (10).
To determine whether a point is outside the circle, the distance between the point and the center must be greater than the radius (10).
To determine whether a point is on the circle, the distance between the point and the center must be equal to the radius (10).
Now let's apply this to each given point:
a. (6,8):
d = sqrt(6^2 + 8^2) = sqrt(36 + 64) ≈ 10.77
Since the distance is greater than the radius, point a is outside the circle.
b. (7,7):
d = sqrt(7^2 + 7^2) = sqrt(49 + 49) ≈ 9.90
Since the distance is less than the radius, point b is inside the circle.
c. (-7,-7):
d = sqrt((-7)^2 + (-7)^2) = sqrt(49 + 49) ≈ 9.90
Since the distance is less than the radius, point c is inside the circle.
d. (-6,8):
d = sqrt((-6)^2 + 8^2) = sqrt(36 + 64) ≈ 10.77
Since the distance is greater than the radius, point d is outside the circle.
e. (-7,8):
d = sqrt((-7)^2 + 8^2) = sqrt(49 + 64) ≈ 11.40
Since the distance is greater than the radius, point e is outside the circle.
f. (-7,-8):
d = sqrt((-7)^2 + (-8)^2) = sqrt(49 + 64) ≈ 11.40
Since the distance is greater than the radius, point f is outside the circle.
In conclusion:
a. is outside the circle
b. is inside the circle
c. is inside the circle
d. is outside the circle
e. is outside the circle
f. is outside the circle