Question

The diameter of a circle is of length 6 cm. If one end of the diameter is (−4, 0), the other end on x-axis is at ______.

Options

• (0, 2)

• (6, 0)

• (2, 0)

• (4, 0)

Answer 1

The diameter of a circle is of length 6 cm. If one end of the diameter is (−4, 0), the other end on x-axis is at (2, 0).

Explanation:

Given that,

Length of diameter of circle = 6 cm

One end of diameter = (−4, 0)

Other end of diameter on x-axis will be of the form (x, 0)

Using distance formula,

→ `sqrt((x − (−4))^2 + (0 − 0)^2)` = 6

→ x + 4 = 6

→ x = 2

So, the other end of diameter is (2, 0).