Advertisements
Advertisements
प्रश्न
A figure is in the form of rectangle PQRS having a semi-circle on side QR as shown in the figure. Determine the area of the plot.
उत्तर
Given: The rectangle is PQRS, and the semi-circle is OQTR, both drawn on side QR.
Now, Area of the rectangle PQRS = 50 × 28 = 1400 cm2
Radius of the semi-circle, r = `(QR)/2 = 28/2` = 14 cm
So, Area of semi-circle OQTR = `1/2 πr^2`
= `1/2 xx 22/7 xx (14)^2`
= `1/2 xx 22/7 xx 14 xx 14`
= 22 × 14
= 308 cm2
Area of the plot = Area of semi-circle OQTR + Area of rectangle PQRS
= 308 + 1400
= 1708 cm2
As a result, the plot's area is 1708 cm2.
APPEARS IN
संबंधित प्रश्न
From a point T outside a circle of centre O, tangents TP and TQ are drawn to the circle. Prove that OT is the right bisector of line segment PQ.
In the given figure, tangents PQ and PR are drawn from an external point P to a circle with centre O, such that ∠RPQ = 30°. A chord RS is drawn parallel to the tangent PQ. Find ∠RQS.
In fig common tangents PQ and RS to two circles intersect at A. Prove that PQ = RS.
Fill in the blank:
A point whose distance from the centre of a circle is greater than its radius lies in ..................... of the circle.
ture or false v
The degree measure of a semi-circle is 180°.
Suppose You Are Given a Circle. Give a Construction to Find Its Centre.
In the following figure, AB is the diameter of a circle with centre O and CD is the chord with length equal to radius OA.
Is AC produced and BD produced meet at point P; show that ∠APB = 60°
In a cyclic quadrilateral ABCD if AB || CD and ∠B = 70°, find the remaining angles.
Number of circles that can be drawn through three non-collinear points is
In the above figure, `square`XLMT is a rectangle. LM = 21 cm, XL = 10.5 cm. Diameter of the smaller semicircle is half the diameter of the larger semicircle. Find the area of non-shaded region.
Find the area of the shaded region in the figure If ABCD is a rectangle with sides 8 cm and 6 cm and O is the centre of the circle. (Take π= 3.14)
Use the figure given below to fill in the blank:
EF is a ______ of the circle.
Draw a circle of radius 4.8 cm and mark its center as P.
(i) Draw radii PA and PB such that ∠APB = 45°.
(ii) Shade the major sector of the circle
Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord
Given: A circle inscribed in a right angled ΔABC. If ∠ACB = 90° and the radius of the circle is r.
To prove: 2r = a + b – c
If the angle between two tangents drawn from a point P to a circle of radius ‘a’ and centre ‘O’ is 90°, then OP = ______
Prove that angle bisector of any angle of a triangle and perpendicular bisector of the opposite side if intersect, they will intersect on the circumcircle of the triangle.
From the figure, identify a chord.
From the figure, identify two points in the interior.
