Advertisements
Advertisements
प्रश्न
In the following figure, if m(arc DXE) = 120° and m(arc AYC) = 60°. Find ∠DBE.
उत्तर
By inscribed angle theorem,
m∠AEB=(1/2) × m∠AYC=(1/2) × 60o = 30o ...(1)
m∠EAD=(1/2) × m∠DXE=(1/2) × 120o = 60o ...(2)
∠DBE + ∠AEB = ∠EAD ....(by Exterior Angle Theorem)
⇒ m∠DBE + 30o = 60o
⇒ m∠DBE = 60o - 30o = 30o
APPEARS IN
संबंधित प्रश्न
The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes. [Use `pi = 22/7`]
A round table cover has six equal designs, as shown in figure. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of Rs.0.35 per cm2. [Use `sqrt3 = 1.7`]
ABC is a triangle with AB = 10 cm, BC = 8 cm and AC = 6 cm (not drawn to scale). Three circles are drawn touching each other with the vertices as their centres. Find the radii of the three circles.
The area of sector of circle of radius 5cm is 5𝜋 cm2. Find the angle contained by the sector.
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
A sector is cut-off from a circle of radius 21 cm the angle of sector is 120°. Find the length of its arc and its area.
AB is a chord of a circle with centre O and radius 4 cm. AB is of length 4 cm and divides the circle into two segments. Find the area of the minor segment.
In fig. 6, AB is a chord of a circle, with centre O, such that AB = 16 cm and radius of circle is 10 cm. Tangents at A and B intersect each other at P. Find the length of PA ?
The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6 : 05 am and 6 : 40 am.
In the given figure, ABCD is a square of side 7 cm, DPBA and DQBC are quadrants of circles each of the radius 7 cm. Find the area of shaded region.
A chord of length 6 cm is at a distance of 7.2 cm from the centre of a circle. Another chord of the same circle is of length 14.4 cm. Find its distance from the centre.
In following figure , C is a point on the minor arc AB of the circle with centre O . Given ∠ ACB = p° , ∠ AOB = q° , express q in terms of p. Calculate p if OACB is a parallelogram.
In the given figure, a circle is inscribed in a trapezium of height 14 cm and lengths of parallel sides are equal to 25 cm and 40 cm. What is the area of the shaded region?
In figure, a square is inscribed in a circle of diameter d and another square is circumscribing the circle. Is the area of the outer square four times the area of the inner square? Give reasons for your answer.
Find the area of a sector of a circle of radius 28 cm and central angle 45°.
A piece of wire 20 cm long is bent into the form of an arc of a circle subtending an angle of 60° at its centre. Find the radius of the circle.
Sides of a triangular field are 15 m, 16 m and 17 m. With the three corners of the field a cow, a buffalo and a horse are tied separately with ropes of length 7 m each to graze in the field. Find the area of the field which cannot be grazed by the three animals.
Three circles each of radius 3.5 cm are drawn in such a way that each of them touches the other two. Find the area enclosed between these circles.
The length of the minute hand of a clock is 6 cm. Find the area swept by it when it moves from 7:05 p.m. to 7:40 p.m.
What is the length of arc of a circle of radius 7 cm which subtends an angle of 90° at the centre of the circle?
