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A shape is made from two sectors arranged in such a way that they share the same centre. The radius of the smaller sector is 7cm and the radius of the larger sector is 10cm. If the angle at the centre of the smaller sector is and the arc length of the larger sector is , calculate:
a) the arc length of the smaller sector, b) the total perimeter of the two sectors, c) the angle at the centre of the larger sector.
Two cubes are placed next to each other. The length of each of the edges of the larger cube is . If the ratio of their surface areas is , calculate:
a the surface area of the small cube,
b the length of an edge of the small cube.
Given the triangle as shown below.
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