Advertisements
Advertisements
प्रश्न
Find the area of sector whose central angle and radius are 60o and 21 cm respectively.
`(pi = 22/7)`
उत्तर
Area =`theta/360 xx pi"r"^2`
⇒ A `= 60/360 xx 22/7 xx 21^2`
⇒ A` = 1/6 xx 22/7 xx 21 xx 21`
⇒ A = 11 × 21
⇒ A = 231 cm2
APPEARS IN
संबंधित प्रश्न
In the given figure, PA and PB are tangents to the circle from an external point P. CD is another tangent touching the circle at Q. If PA = 12 cm, QC = QD = 3 cm, then find PC + PD
In the adjoining figure the radius of a circle with centre C is 6 cm, line AB is a tangent at A. Answer the following questions.
(1) What is the measure of ∠CAB ? Why ?
(2) What is the distance of point C from line AB? Why ?
(3) d(A,B) = 6 cm, find d(B,C).
(4) What is the measure of ∠ABC ? Why ? 
Prove that the tangent drawn at the mid-point of an arc of a circle is parallel to the chord joining the end points of the arc.
In fig., PT is a tangent to the circle at T and PAB is a secant to the same circle. If PB = 9cm and AB = 5 cm, find PT.
In fig., AB and DC are two chords of a circle with centre O. these chords when produced meet at P. if PB = Bern, BA = 7cm and PO = 14.5cm, find the radius of the circle.
In followinf fig., two concentric circles with centre 0 are of radii 5 cm and 3 cm. from an external point P, tangents PA and PB are drawn to these circles. If AP = 12cm, find BP.
ABC is a right triangle with angle B = 90º. A circle with BC as diameter meets by hypotenuse AC at point D. Prove that: BD2 = AD × DC.
In a square ABCD, its diagonal AC and BD intersect each other at point O. The bisector of angle DAO meets BD at point M and bisector of angle ABD meets AC at N and AM at L. Show that - ALOB is a cyclic quadrilateral.
Two circle with radii r1 and r2 touch each other externally. Let r be the radius of a circle which touches these two circle as well as a common tangent to the two circles, Prove that: `1/sqrtr + 1/sqrtr_1 + 1/sqrtr_2`.
In Fig. the incircle of ΔABC touches the sides BC, CA, and AB at D, E respectively. Show that: AF + BD + CE = AE + BF + CD = `1/2`( Perimeter of ΔABC)
In Fig. TA is a tangent to a circle from the point T and TBC is a secant to the circle. If AD is the bisector of ∠BAC, prove that ΔADT is isosceles.
In figure, M is the centre of the circle and seg KL is a tangent segment. If MK = 12, KL = `6sqrt(3)`, then find
(i) Radius of the circle.
(ii) Measures of ∠K and ∠M.
At one end A of a diameter AB of a circle of radius 5 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY and at a distance 8 cm from A is ______
The distance between two parallel tangents of a circle of radius 4 cm is ______
In Question 5 above, if radii of the two circles are equal, prove that AB = CD.
In the given figure, PT is a tangent at T to the circle with centre O. If ∠TPO = 25°, then x is equal to ______.
A circle of radius 5.2 cm has two tangents AB and CD parallel to each other. What is the distance between the two tangents?
In the given figure O, is the centre of the circle. CE is a tangent to the circle at A. If ∠ABD = 26° find:
- ∠BDA
- ∠BAD
- ∠CAD
- ∠ODB
In the given diagram, PS and PT are the tangents to the circle. SQ || PT and ∠SPT = 80°. The value of ∠QST is ______.
