The area of a circle is equal to the area of a rectangle of dimensions 14 cm x 11 cm. Then, the circumference of the circle is \(\left(\text{Use } \pi = \frac{22}{7}\right)\)
44 cm
The area of the rectangle is \(14\times11=154\) sq cm, and this equals the area of the circle.
Using the area of a circle, \(\pi r^2=154\), so \(r^2=154\times\frac{7}{22}=49\), giving \(r=7\) cm.
The circumference of the circle is \(2\pi r=2\times\frac{22}{7}\times7=44\) cm.
Hence, the circumference of the circle is 44 cm.
Important Questions from Circles, Chords and Tangents
A chord 21 cm long is drawn in a circle of diameter 25 cm. The perpendicular distance of the chord from the centre is:
AB is a chord of a circle with centre O and P is any point on the circle. If ∠APB = 112°, then what is the measure of ∠OAB ?
The distance between the centres of two circles is 24 cm. If the radius of the two circles are 4 cm and 8 cm, then what is the sum of the lengths (in cm) of the direct common tangent and the transverse common tangent?
An equilateral triangle ABC and a scalene triangle DBC are inscribed in a circle on same side of the arc. what is ∠BDC equal to?
What can be the maximum number of common tangent which can be drawn to two non-intersecting circles?
