Advertisements
Advertisements
प्रश्न
A sector of 56° cut out from a circle contains area of 4.4 cm2. Find the radius of the circle
उत्तर
Angle subtended by sector at centre 𝜃 = 56°
Let radius be ‘x’ cm
Area of sector =`theta/360^@× pir^2`
=`56/360×22/7× r^2`
=`22/45`𝑟2
But area of sector = 4.4cm2 =`44/10cm^2`
`22/45r^2 =44/10`
⇒ `r^2 =(45×44)/(22×10)`= 9
⇒ 𝑟 = `sqrt(9)`
= 3 𝑐𝑚
∴ radius (r) = 3cm
APPEARS IN
संबंधित प्रश्न
Find the area of the sector whose arc length and radius are 14 cm and 6 cm respectively.
A car has two wipers which do not overlap. Each wiper has blade of length 25 cm sweeping through an angle of 115°. Find the total area cleaned at each sweep of the blades [Use π = `22/7`]
A chord AB of circle, of radius 14cm makes an angle of 60° at the centre. Find the area of minor segment of circle.
AB is the diameter of a circle, centre O. C is a point on the circumference such that ∠COB = 𝜃. The area of the minor segment cutoff by AC is equal to twice the area of sector BOC.Prove that `"sin"theta/2. "cos"theta/2= pi (1/2−theta/120^@)`
A chord of a circle subtends an angle 𝜃 at the centre of circle. The area of the minor segment cut off by the chord is one eighth of the area of circle. Prove that 8 sin`theta/2 "cos"theta/2+pi =(pitheta)/45`
In the given figure, radius of circle is 3.4 cm and perimeter of sector P-ABC is 12.8 cm . Find A(P-ABC).
The radius of a circle is 17.5 cm. Find the area of the sector enclosed by two radii and an arc 44 cm in length.
The number of revolutions made by a circular wheel of radius 0.7m in rolling a distance of 176m is ______.
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.
Find the perimeter of a quadrant of a circle of radius 14 cm.
