Question : What is the area of the sector of a circle of radius 8 cm and formed by an arc of length 12 cm?
Option 1: 45 cm2
Option 2: 47 cm2
Option 3: 48 cm2
Option 4: 84 cm2
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Correct Answer: 48 cm 2
Solution : Given: The radius of the circle, $r=8$ cm Arc length, $l=12$ cm The area of a sector of a circle $=\frac{1}{2}lr=\frac{1}{2}×12×8=48$ cm 2 So, the area of a sector of a circle is 48 cm 2 . Hence, the correct answer is 48 cm 2 .
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Question : The area of a sector of a circle of radius 28 cm is 112 cm2. Find the length of the corresponding arc of the sector.
Question : Find the area of the sector of a circle with a radius of 4 cm containing an angle of 30°.
Question : The area of the sector of a circle of radius 12 cm is $32 \pi \;\mathrm{cm}^2$. Find the length of the corresponding arc of the sector.
Question : An arc on a circle, whose length is 19.25 cm, subtends an 18° angle at the centre. What is the area of the circle? [Use $\pi = \frac{22}{7}$]
Question : An arc of length 23.1 cm subtends an 18° angle at the centre. What is the area of the circle? $\mathrm{[Use ~\pi=\frac{22}{7} ]}$
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