The shape of the top of the table in a restaurant is that of a segment of a circle with centre O and angle BOD = 90°. BO = OD = 60 cm.
Find : (i) the area of the top of the table;
(ii) the perimeter of the table. [Take π = 3.14]
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Step-by-step explanation:
angle BOD = 90°
In a full circle there's 360°
90/360 = 25%
therefore 25% of the table is removed.
area of full circle = πR²
= π(60)²
= 11304cm²
the table is only 75% of the total circle
= 11304*75%
= 8478cm²
perimeter = 2πR for full circle
= 2π(60)
= 376.8cm
perimeter of table = perimeter x 75%
= 376.8 x (75/100)
= 282.6cm
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