Advertisements
Advertisements
प्रश्न
In the given figure, OACB is a quadrant of circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the
(i) Quadrant OACB
(ii) Shaded region
[Use Π = 22/7]
उत्तर
(i) Since OACB is a quadrant, it will subtend 90° angle at O.
Area of quadrant OACB = `90^@/360^@ xx pir^2`
`=1/4xx22/7xx(3.5)^2 = 1/4xx22/7xx(7/2)^2`
`= (11xx7xx7)/(2xx7xx2xx2) = 77/8 cm^2`
(ii) Area of ΔOBD = 1/2 x OB x OD
`= 1/2xx3.5xx2`
`= 1/2xx7/2xx2`
`= 7/2 cm^2`
Area of the shaded region = Area of quadrant OACB − Area of ΔOBD
`= 77/8-7/2`
`= (77-28)/8`
`= 49/8 cm^2`
APPEARS IN
संबंधित प्रश्न
In fig. 3, a square OABC is inscribed in a quadrant OPBQ of a circle. If OA = 20 cm, find the area of the shaded region. (Use π = 3.14)
Find the area of the shaded region in the given figure, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle. [Use Π = 22/7]
On a square handkerchief, nine circular designs each of radius 7 cm are made (see the given figure). Find the area of the remaining portion of the handkerchief.[Use Π = 22/7]
In the given figure, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region. [Use Π = 22/7]
The area enclosed between the concentric circles is 770cm2. If the radius of outer circle 21cm. find the radius of inner circle
Find the area of triangle whose base measures 24 cm and the corresponding height measure 14.5 cm.
The perimeter of a right triangle is 40 cm and its hypotenuse measure 17 cm. Find the area of the triangle.
The difference between the sides at the right angles in a right-angled triangle is 7 cm. the area of the triangle is `60 cm^2` . Find its perimeter.
The length of the two sides of a right triangle containing the right angle differ by 2 cm. If the area of the triangle is 24xm^2, find the perimeter of the triangle.
In Fig. 7, PQ and AB are respectively the arcs of two concentric circles of radii 7 cm and
3.5 cm and centre O. If ∠POQ = 30°, then find the area of the shaded region. [User`22/7`]
