I need help with this question ( see image). Please show workings.​

Step-by-step explanation:

(a) The center of the circle is also the circumcenter of the triangle PQR.

Since ΔPQR is equilateral, all sides are equal, therefore opposite angles are also congruent:

Sum of the three angles is 360° as cover the full circle.

Each angle measure is:

(b) Each side is 16 cm and the radius is 12 cm.

The distance of the midpoint M of PQ from the center O is perpendicular bisector of ΔPOQ.

The segment MO is:

ΔXYZ is isosceles with:

(a) The altitude of ΔXYZ is a perpendicular bisector of YZ. h = XM is the altitude

Find h:

(b) Note the ∠ZXM is half of the ∠ZOM as both the angles intercept half of the arc ZY and ∠ZOM is a central angle.

Find ∠ZXM:

Find ∠ZOM:

Find the measure of the radius:

Find the measure of the diameter:

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step-by-step explanation: