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The circumference of a circle is 39.6 cm. Find its area.
In order to solve such type of questions we basically need to find the radius of the give circle and simply use it to find the area of the given circle.
Given the circumference or perimeter of the circle = 39.6 cm.
And we know, Perimeter or circumference of circle = 2πr
Where, r = Radius of the circle
Therefore, 2πr = 39.6
(put value of π = 22/7)
On rearranging we get,
⇒ r = 6.3 cm
So, the radius of the circle = 6.3 cm
And we also know, Area of the circle = πr2
Where, r = radius of the circle
⇒ Area of the circle = π(6.3)2
(putting value of r)
= 124.74 cm2
The area of the circle = 124.74 cm2.
ABCD is a field in the shape of a trapezium, AD || BC, ∠ABC = 90° and ∠ADC = 60°. Four sectors are formed with centres A, B, C and D, as shown in the figure. The radius of each sector is 14 m.
Find the following:
(i) total area of the four sectors,
(ii) area of the remaining portion, given that AD = 55 m, BC = 45 m and AB = 30 m.
A child draws the figure of an aeroplane as shown. Here, the wings ABCD and FGHI are parallelograms, the tail DEF is an isosceles triangle, the cockpit CKI is a semicircle and CDFI is a square. In the given figure, BP ⊥ CD, HQ ⊥ FI and EL ⊥ DF. If CD = 8 cm, BP = HQ = 4 cm and DE = EF = 5 cm, find the area of the whole figure. [Take π = 3.14.]