Three circles of equal radii touch each other as shown in the figure. The radius of each circle is 1 cm. What is the area of the shaded region?

\[\left( \frac{3\sqrt{2}-\pi }{3} \right)c{{m}^{2}}\]

\[\left( \frac{2\sqrt{3}-\pi }{2} \right)c{{m}^{2}}\]

\[\frac{2\sqrt{3}}{\pi }c{{m}^{2}}\]

\[\frac{\sqrt{6}}{2\pi }c{{m}^{2}}\]

Three circles of equal radii touch each other as shown in the figure.

1.	Three circles of equal radii touch each other as shown in the figure. The radius of each circle is 1 cm. What is the area of the shaded region?
A.	\[\left( \frac{2\sqrt{3}-\pi }{2} \right)c{{m}^{2}}\]
B.	\[\left( \frac{3\sqrt{2}-\pi }{3} \right)c{{m}^{2}}\]
C.	\[\frac{2\sqrt{3}}{\pi }c{{m}^{2}}\]
D.	\[\frac{\sqrt{6}}{2\pi }c{{m}^{2}}\]
Answer» B. \[\left( \frac{3\sqrt{2}-\pi }{3} \right)c{{m}^{2}}\]

Discussion

No Comment Found

Related MCQs

The figure given is made up of a circle and 3 identical semicircles. 0 is the centre of the circle and XY is the diameter of the circle. Given that XY is 28 cm, find the perimeter of the shaded part of the figure. (Use \[\pi =\frac{22}{7}\].)
In the given figure, a circle with centre B overlaps another circle with centre A and a square. The ratio of areas of P and Q is 5 :4 and the area of Q is\[\frac{1}{8}\]the area of circle B. The radii of circle A and circle B are 10 cm and 8 cm respectively. Find the area of the unshaded part of the figure. (Take\[\pi =\text{3}.\text{14}\].)
In given figure, ABC is a triangle right- angled at B, with AB = 14 cm and BC = 24 cm. With the vertices A, B and C as centres, arcs are drawn each of radius 7 cm. Find the area of the shaded region. [Use \[\pi =\frac{22}{7}\]]
If the ratio of areas of two circles is 16:25, what is the respective ratio of their circumferences?
The areas of two concentric circles are \[962.5\text{ }c{{m}^{2}}\]and \[1386\text{ }c{{m}^{2}}\]respectively. The width of the ring is _____.
If the length of the arc of a circle having a central angle 36° is 22 cm, what is the area of the circle?
The figure shows a right-angled triangle and a semicircle. PQ is the diameter of the semicircle. Find the perimeter of the whole figure.
A rectangular park is 100 m by 50 m. It is surrounded by semicircular flower beds all round. Find the cost of levelling the semicircular flower beds at 60 paise per\[{{m}^{2}}\].
The radius of a circle is 20 cm. Three more concentric circles are drawn inside it in such a manner that it is divided into four parts of equal area. Find the radius of one of the three concentric circles.
Circle \[{{C}_{2}}\] passes through the centre of circle \[{{C}_{1}}\]and is tangential to it. If the area of \[{{C}_{1}}\]is \[4\text{ }c{{m}^{2}},\] then the area of \[{{C}_{2}}\] is _____.

Three circles of equal radii touch each other as shown in the figure. The radius of each circle is 1 cm. What is the area of the shaded region?

Discussion

No Comment Found

Related MCQs

Reply to Comment