Question

In the given fig the shape of the top of a table in a resturant is that of a sector of a circle with centre o and 1)the area of the top of the table
2)the perimeter of the table top(take π=3.14)

Answer 1

This has a missing information which is if BO = OD = 60cm.

Given:
∠BOD = 90°, whole circle is 360°

360° - 90° = 270° 
270° ÷ 360° = 3/4 
Top of the table is 3/4 of a circle with a radius of 60 cm.

Area of circle = π r²

Area of top of the table = 3/4 * 3.14 * (60cm)²
A = 3/4 * 3.14 * 3,600 cm²
A = 8,478 cm²

Circumference of a circle = π d
d = diameter which is twice the radius.
d = 60cm * 2 = 120 cm
Perimeter of the table = (3/4 * 3.14 * 120cm) + (2 x 60cm)
P = 282.60 cm + 120 cm
P = 402.60 cm