A pendulum swings through an angle of 9^{\circ} and its end describes an arc of length 14.3 cm. What is the length of the pendulum? (Take \pi=\frac{22}{7})

Explanation

Using arc length l = r\theta with \theta in radians: 14.3 = r \times \left(\frac{9\pi}{180}\right). Thus r = \frac{14.3 \times 20}{22/7} = \frac{286 \times 7}{22} = 91 cm.

Related questions on Mensuration

• A pendulum swings through an angle of 30° and its end describes an arc of length 55 cm. What is the length of the pendulum? (Take $\pi = 22/...
• A conical tent has an angle of 60° at the vertex. If the curved surface area is 100 m^2, then what is the volume of the tent?
• A right circular cone and a hemisphere have equal base and equal volume. What is the ratio of the height of the cone to the radius of the he...
• A wire is in the form of an equilateral triangle with an area of 36\sqrt{3} cm^2. If it is changed into a semicircle, then what is its r...
• Let the area of the largest possible square inscribed in a circle of unit radius be x. Let the area of the largest possible circle inscribed...