A brooch is made with silver wire in the form of a circle with diameter 35 mm.The wire is also used in making 5 diameter which divide the circle into 10 equal sectors as shown in Fig.12.12 .Find:(i)the total length of the silver wire required.

A brooch is made with silver wire in the form of a circle with diameter 35 mm.The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in Fig.12.12 Find:(ii)the area of each sector of the brooch.

From each cornor of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Fig.12.23.Find the area of the remaining portion of the square.

A resistance wire connected in the left gap of a metre bridge balances a 10Ω resistance in the right gap at a point which divides the bridge wire in the ratio 3:2. If the length of the resistance wire is 1.5m, then find the length of 1Ω of the resistance wire.

Two extremities of a diameter of a circle are (-4, 3), (12, -1). Find the length of the chord made by the circle on the Y -axis.

A copper wire has diameter 0.5 mm and resistivity of 1.6 xx 10^-8Omega m. What will be the length of this wire to make its resistance 10Omega ? How much does the resistance change if the diameter is doubled?

In Fig 12,PS is a diameter of a circle whose radius is 6 cm.Two points Q and R are taken on PS such that PQ=QR=RS.Two semicircles are drawn with PQ and QS as their respective diameters as shown in the figure.Find the perimeter and the area of the shaded region shown in figure. (pi=3.14)

A silver wire of 1 mm diameter has a charge of 90 coulombs flowing in 1 hours and 15 minutes. Silver contains 5.28*10^28 free electrons per cm^3. Find the current in the wire and drift velocity in the electron?

The area of an equilateral triangle ABC is 17320.5cm^2 .With each vertex of the triangle as center,a circle is drawn with radius equal to half the length of the side of the triangle(seeFig.12.28).Find the area of the shaded region.(use pi=3.14 and sqrt3=1.73205 )

A copper wire,3 mm in diameter, is wound about a cylinder whose length is 1.2 m, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8.88g/(cm^3) .