Construct a segment of a circle on a given line segment AB = 5.2 cm containing an angle 48°.

Steps for construction:

Step 1: Draw a line segment AB = 5.2 cm

Step 2: At A, make ∠BAX = 48°.

Step 3: Draw AY⊥AX.

Step 4: Draw the perpendicular bisector of AB which meets AY at O.

Step 5: With O as center and OA as radius draw a circle.

Step 6: Take any point P on the circle.

Step 7: By the tangent- chord theorem, the major arcAPB is the required segment of the circle containing the angle 48°.