Question

The radius of a circle with centre O is 5 cm. The lengths of the chords AB and BC are 6 cm and 8 cm respectively. The midpoints of the chords are X and Y respectively. Find the perimeter of the quadrilateral OXBY. ​

Answer 1

Answer:

Step-by-step explanation:

AB=6 cm

BX=1/2 AB=1/2 ×6=3 cm

BC=8 cm

BY=1/2×BC=1/2×8=4 cm

perpendicular bisector of a chord always passes through the center.

so quadrilateral OXBY is a rectangle.

Perimeter=2(BX+BY)=2(3+4)=2×7=14 cm.