Home
Class 10
MATHS
In the given figure, ABCD is a rectangle...

In the given figure, ABCD is a rectangle of 20 cm x 10 cm. A semicircle is drawn with centre O, radius `10sqrt2` cm and it passes through A and B. Find the area of the shaded region. [Use `pi=22/7`]

Text Solution

Verified by Experts

Area of APB=Area of sector OAPB-Area of `/_OAB`
`=90/360*pi(10sqrt2)^2-1/2*20*10`
Area of Area APB=400/7
Area of shaded region= Area of rectangle ABCD- Area of triangle APB
`20*10-400/7`
`(1400-400)/7`
`1000/7 cm^2`.
Promotional Banner

Similar Questions

Explore conceptually related problems

In the given figure ABCD is a rectangle of dimensions 21cmxx14cm . A semicircle is drawn with BC as diameter. Find the area and the perimeter of the shaded region in the figure.

In Figure , ABCD is a prallelogram. A semicircle with centre O and the diameter AB has been drawn and it passes through D. If AB = 12 cm and OD bot AB. Then find the area of the shaded region. (Use pi=3.14 )

In Figure , ABCD is a prallelogram. A semicircle with centre O and the diameter AB has been drawn and it passes through D. If AB = 12 cm and OD bot AB. Then find the area of the shaded region. (Use pi=3.14 )

OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm., find the area of the shaded region (use pi=22/7 )

OAQB is a quadrant of a circle with centre O and radius 14 cm. A semicircle is drawn on diameter OB. Find the area of the shaded region.

ABCD is a rectangle of length 20cm and breadth 10cm. OAPB is a sector of a circle of radius 10sqrt2 cm. calculate the area of the shaded region. [Take pie = 3.14]

In the given figure, ABCD is a square of side 10 cm and semicircles are drawn with each side of the square as diameter. Find the area of the shaded region. [ Use pi=3.14 ]

In figure OACB is a quadrant of a circle with centre O and radius 3.5 cm . If OD = 2 cm ., find the area of the shaded region . (use pi=(22)/(7) )

In figure, OACB is a quadrant of a circle with centre O and radius 7 cm. If AD = 2 cm, find the area of the shaded region.

In Figure 6,O is the centre of the circle with AC=24cm,AB=7cm and /_BOD=90. Find the area of the shaded region.[Use pi=314]