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Find the area of a circle with a radius of 7 cm (Use pi = 22/7).
154 sq cm
144 sq cm
164 sq cm
134 sq cm
154 sq cm
Since the radius is 7, recall the standard area for r=7 is 154, or use the divisibility rule for 11 since the formula contains 22.
Radius r = 7 cm, Pi value = 22/7
Area=╧Аr2
Since the radius is 7, recall the standard area for r=7 is 154, or use the divisibility rule for 11 since the formula contains 22.
Students often use the diameter instead of the radius or mistake the circumference formula 2╧Аr for the area formula ╧Аr2.
Identify given values
We are given the radius r=7 cm and the constant ╧А=22/7.
r=7
Apply Area formula
The area of a circle is calculated using the formula A=╧Аr2.
A=722тАЛ├Ч72
Perform calculation
Substitute the value of r into the formula: A=(22/7)├Ч7├Ч7. Cancelling one 7 from numerator and denominator gives 22├Ч7.
A=22├Ч7=154
A is correct because the calculated area of the circle with radius 7 cm is 154 sq cm.
Always remember that for any circle with r as a multiple of 7, the area will be a multiple of 154, which helps in quick estimation during exams.
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