Advertisements
Advertisements
प्रश्न
In the given figure, ABCD is a rectangle inscribed in a circle having length 8 cm and breadth 6 cm. If π = 3.14, then the area of the shaded region is:
विकल्प
264 cm2
266 cm2
272 cm2
254 cm2
None of the above.
उत्तर
None of the above
Explanation:
All options are incorrect; the correct answer is 30.5 cm.
Join AC.
Now, AC is the diameter of the circle.
We have:
AC2 = AB2 + BC2 [By pythagoras' theorem]
⇒ AC2 = {(8)2 + (6)2} cm2
⇒ AC2 = (64 + 36) cm2
⇒ AC2 = 100 cm2
∴ Radius of the circle`=10/2 "cm"`
= 5 cm
Now,
Area of the shaded region = Area of the circle with radius 5 cm − Area of the rectangle ABCD
`=|(3.14xx5xx5)-(8xx6)| "cm"^2`
`=|(314/100xx25)-48| "cm"^2`
`=(157/2-48) "cm" ^2`
`=61/2 "cm" ^2`
= 30.5 cm2
APPEARS IN
संबंधित प्रश्न
Each of the equal sides of an isosceles triangle measure 2 cm more than its height, and the base of the triangle measure 12 cm. Find the area of the triangle.
Find the area enclosed between two concentric circles of radii 3.5 cm and 7 cm. A third concentric circle is drawn outside the 7 cm circle , such that the area enclosed between it and the 7 cm circle is same as that between the two inner circles . Find the radius of the third circle correct to one decimal place.
Prove that the area of a circular path of uniform width h surrounding a circular region of radius r is `pih(2r+h)`
In the following figure, ABC is an equilateral triangle of side 8 cm. A, B and C are the centres of circular arcs of radius 4 cm. Find the area of the shaded region correct upto 2 decimal places. (Take π =3.142 and`sqrt3` = 1.732).
What is the ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal?
Write the area of the sector of a circle whose radius is r and length of the arc is l.
The radii of two circles are 8 cm and 6 cm. Find the radius of the circle having area equal to the sum of the areas of the two circles.
The radius of a circular wheel is 42 cm. Find the distance travelled by it in :
(i) 1 revolution ;
(ii) 50 revolutions ;
(iii) 200 revolutions ;
The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is ______.
If the radius of a circle is tripled, the area becomes ______.
