Advertisements
Advertisements
Question
A circular flower garden has an area of 314 m2. A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler water the entire garden? (Take π = 3.14)
Advertisements
Solution
Area = πr2 = 314 m2
3.14 × r2 = 314
r2 = 100
r = 10 m
Yes, the sprinkler will water the whole garden.
RELATED QUESTIONS
Find the perimeter of the adjoining figure, which is a semicircle including its diameter.
Find the area of the quadrilateral ABCD in which AD = 24 cm, ∠BAD = 90° and ΔBCD is an equilateral triangle having each side equal to 26 cm. Also, find the perimeter of the quadrilateral. [Given, `sqrt(3) = 1.73`.]
The adjacent sides of a parallelogram are 32 cm and 24 cm. If the distance between the longer sides is 17.4 cm, find the distance between the shorter sides.
In the following figure, OABC is a square of side 7 cm. If OAPC is a quadrant of a circle with centre O, then find the area of the shaded region. (Use π = 22/7)
If the diameter of a semi-circular protractor is 14 cm, then find its perimeter.
The minute hand of a clock is 15 cm long. Calculate the area swept by it in 20 minutes. [Take π = 3.14.]
A sector is cut from a circle of radius 21 cm. The angle of the sector is 150°. Find the length of the arc and the area of the sector.
In the given figure, a circle is inscribed in an equilateral triangle ABC of side 12 cm. Find the radius of inscribed circle and the area of the shaded region. [Use `sqrt(3) = 1.73` and π = 3.14.]
A chord of a circle of radius 14 cm makes a right angle at the centre. Find the area of the sector.
A circular field of radius 105 m has a circular path of uniform width of 5 m along and inside its boundary. Find the area of the path.
