Rose Harrison and Clara Huizink Solutions for Exercise 10: Practice 2

Find the area and perimeter of the quarter circle. Give your answers to $2$ decimal points.

Find the length of the major arc.

Find the perimeter of the major sector.

Find the area of the major sector.

$VX$ and $UW$ are both diameters of the circle; $VX=UW=12 \mathrm{cm}$. Find the perimeter of sector $XOW$

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A frame for a mirror is in the shape of a rectangle with a curved top as shown in the diagram. The vertical sides of the frame are $50 \mathrm{cm}$ long, and the top is an arc with central angle $97°$ and radius$20 \mathrm{cm}$. Calculate the perimeter of this frame.

Calculate the volume of this solid. The end face is a sector of a circle, radius $4 \mathrm{cm}$.

A light hardwood dowel has a semi-circular cross-section of radius $3 \mathrm{cm}$, and is $2 \mathrm{m}$ in length. Calculate the volume of wood in the dowel.