The area of a circular lawn is 154m2 find its circumference
Answers
Step-by-step explanation:
Area of circular lawn = 154 m2
πr sq. =154
22/7 × r sq. = 154
r sq.= 154×7/22
r sq. = 49
r = 7
Circumference of circular lawn = 2πr
=2 × 22/7 × 7
= 44
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HI FRIEND! HERE IS YOUR ANSWER WITH STEP BY STEP EXPLANATION.
Answer: ANSWER IS 44 m.
STEP BY STEP EXPLANATION:-
AREA OF CIRCULAR LAWN = 154 m²(GIVEN) (1ST EQUATION)
AREA OF CIRCULAR LAWN = πr² -(2ND EQUATION)
THEREFORE, BY 1ST AND 2ND EQUATION:-
154 = πr²
(AS π=22)
7
SO, 154 = 22 ×r²
7
154×7 = r²
22
1078 = r²
22
49 = r²
√49 = r
7 metres = r
THEREFORE, RADIUS (r) = 7 m
CIRCUMFERENCE = 2πr
CIRCUMFERENCE = 2×22×7
7
CIRCUMFERENCE= 2×22
HENCE, CIRCUMFERENCE= 44 m