The perimeter of a sector of a circle of radius 5.2 cm is 16.4 cm. What is the area of the sector?

Explanation

Perimeter of sector = 2r + l = 16.4. Substituting r=5.2 gives 10.4 + l = 16.4 \implies l = 6 cm. Area of sector = \frac{1}{2} l r = \frac{1}{2} \times 6 \times 5.2 = 15.6 square 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...