Advertisements
Advertisements
Question
In the given figure, the shape of the top of a table is that of a sector of a circle with centre O and ∠AOB = 90°. If AO = OB = 42 cm,· then find the perimeter of the top of the table.
Solution
We have
r = 42 cm and θ = 360° - 90° = 270°
Perimeter of the top of the table = Length of the major arc AB + Length of OA + Length of OB
`=theta/360^circxx2pir+42+42`
`=270^circ/360^circxx2xx22/7xx42+84`
`=198 + 84`
= 282 cm
Hence, the perimeter of the top of the table is 282 cm.
APPEARS IN
RELATED QUESTIONS
Below fig shows a sector of a circle, centre O. containing an angle 𝜃°. Prove that
Area of shaded region is`r^2/2(tantheta −(pitheta)/180)`
Four cows are tethered at four corners of a square plot of side 50m, so that’ they just cant reach one another. What area will be left ungrazed.
Find the circumferences of a circle whose radius is 7 cm.
Diagonal of a square is 20 cm. Find the length and perimeter of the square.
The radius of the wheel of a vehicle is 42 cm. How many revolutions will it complete in a 19.8-km-long journey?
Find the area enclosed between two concentric circles, if their radii are 6 cm and 13 cm respectively.
Find the circumference of the circles whose radii are given below.
91 mm
Find the radius of a circle whose circumference is equal to the sum of the circumferences of two circles of radii 15 cm and 18 cm.
A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is ______.
A photograph of Billiard/Snooker table has dimensions as `1/10`th of its actual size as shown in the given figure:
The portion excluding six holes each of diameter 0.5 cm needs to be polished at rate of ₹ 200 per m2. Find the cost of polishing.
