Question

construct a segment of a circle on a chord of length 5 cm and 90 °​

Answer 1

Step-by-step explanation:

If the chord is AB:-

Use compasses to construct CD as the Perpendicular Bisector of AB. The two line will intersect at O.

Draw a circle with centre O and radius OA. Mark the points E and F where the circle intersects CD

A circle centred on E (or F) and with radius EA is the answer to your question

If you need any other circles that have AB as a chord. Pick any point X on CD that is not between E and F (i.e. anywhere on CE or DF)

Draw a circle of radius XA