A circular carpet whose radius is 106 cm is laid on a circular hall of radius 120Find the area of the hall uncovered by the carpet.
Answers
If a circular carpet of radius of 106 cm is placed on a circular hall of 120 cm radius then the area of the hall uncovered by the carpet is 9944 cm².
Step-by-step explanation:
The radius of the circular carpet given = 106 cm
∴ Area of the circular carpet = πr² = (22/7)*(106)² = 35313.14 cm²
Also given the radius of the circular hall = 120 cm
∴ Area of the circular hall = πr² = (22/7)*(120)² = 45257.14 cm²
Thus,
The area of the hall uncovered by the carpet is given by,
= [Area of the circular hall] – [Area of the circular carpet]
= 45257.14 - 35313.14
= 9944 cm²
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Answer:
9944 square cm
Step-by-step explanation:
To find the area of a circle we take π multiply by the square of the radius.
Since we are interested in the area of the floor not covered by the carpet we find the area of the floor minus the area of the carpet
We use 22/7 as our π in this case
So the area of the is
22/7 × 120 × 120 = 45257.14 square cm
The area of the carpet is
22/7 × 106 × 106 = 35313.14 square cm
We therefore take the area of the floor minus the area of the carpet to get the area of the floor not covered by the carpet
45257.14 - 35313.14 = 9944 square cm.