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gerardoleal1414
22.06.2019 •
Mathematics
Which of the following is the equation of a circle whose center is at the origin and whose radius is 4?
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Ответ:
x²+y²=16
Step-by-step explanation:
the general equation for a circle is given as :
(x−h)²+(y−k)²=r²
where (h, k) is the coordinate of the center of the circle and r is the radius
in this case h=0, k=0 and r = 4
equation becomes
x²+y²=4²
or
x²+y²=16
Ответ:
Last option.
Step-by-step explanation:
The equation of a circle in Center-radius form is:
Where the center is at the point (h,k) and "r" is the radius.
If the center of this circle is at the origin, means that:
Since the radius is 4, then:
Now we need to substitute these values into the equation of the circle.
Simplifying the equation, we get:
This matches with the last option.
Ответ:
Step-by-step explanation:
This is a right triangle with two congruent angles. so this is a isoceles right triangle or called a
45-45-90 triangle. This means that the legs are equal to each other so