Question

If a angle on the circumference of a circle is subtended by a diameter of the circle what is the angle

Answer 1

The angle is 90 degrees

Explanation:

Required

Angle subtended by the diameter

The theorem to solve this is:

The angle subtended by an arc is twice the angle it subtends.

The diameter forms
`180^\circ` on the circle, so we have:

`2*\theta = 180^\circ`

Where
`\theta` is the angle subtended

Solve for
`\thets`
`\theta`

`\theta = (180^\circ)/(2)`

`\theta = 90^\circ`