A circle is drawn with $(4,3)$ as the centre and radius 5 units. a What is the distance from the centre of the circle to the $x$-axis ? b Write the coordinates of the points where the circle cuts the $x$-axis.

Explanation

The distance from the centre of the circle to the x-axis is 3 units. This is because the centre of the circle is at the point (4,3), and the x-axis is 3 units below this point. To find the coordinates of the points where the circle cuts the x-axis, we need to find the points where the circle intersects the x-axis. Since the circle has a radius of 5 units, the points where it intersects the x-axis will be 5 units away from the centre of the circle. Therefore, the coordinates of the points where the circle cuts the x-axis are (4 + 5, 0) = (9, 0) and (4 - 5, 0) = (-1, 0).

A circle is drawn with $(4,3)$ as the centre and radius 5 units. a What is the distance from the centre of the circle to the $x$-axis ? b Write the coordinates of the points where the circle cuts the $x$-axis.

Explanation

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