Advertisements
Advertisements
प्रश्न
In the given figure, three sectors of a circle of radius 7 cm, making angles of 60°, 80° and 40° at the centre are shaded. Find the area of the shaded region.
उत्तर
Area of the shaded region = Area of sector having central angle 60∘ + Area of sector having central angle 80∘ + Area of sector having central angle 40∘
`=["60°"/"360"^circ]xxpi(7)^2 + [80^circ/360^circ] + [80^circ/360^circ xx pi(7)^2]+[40^circxxpi(7)^2]`
`=pi(7)^2 (60^circ/360^circ + 80^circ/360^circ+40^circ/360^circ)`
`=pi(7)^2(1/2)`
= 77 cm2
Hence, the area of the shaded region is 77 cm2 .
APPEARS IN
संबंधित प्रश्न
AB is a chord of circle with centre O and radius 4cm. AB is length of 4cm. Find the area of sector of the circle formed by chord AB
In the given figure, radius of circle is 3.4 cm and perimeter of sector P-ABC is 12.8 cm . Find A(P-ABC).
A chord 10 cm long is drawn in a circle whose radius is `5sqrt(2)` cm. Find the areas of both the segments.
Four cows are tethered at the four corners of a square field of side 50 m such that the each can graze the maximum unshared area. What area will be left ungrazed?
Prove that the circle drawn with any side of a rhombus as a diameter, passes through the point of intersection of its diagonals.
In following fig., PT is a tangent to the circle at T and PAB is a secant to the same circle. If PA = 4cm and AB = Scm, find PT.
Find the area of the shaded region where ABC is a quadrant of radius 5cm and a semicircle is drawn with BC as diameter.
In figure, arcs are drawn by taking vertices A, B and C of an equilateral triangle of side 10 cm. to intersect the sides BC, CA and AB at their respective mid-points D, E and F. Find the area of the shaded region (Use π = 3.14).
In figure, arcs have been drawn of radius 21 cm each with vertices A, B, C and D of quadrilateral ABCD as centres. Find the area of the shaded region.
Find the perimeter of a quadrant of a circle of radius 14 cm.
