Sue Pemberton Solutions for Chapter: Circular Measure, Exercise 3: EXERCISE 4B

The circle has radius $7cm$ and centre $O$. $AB$ is a chord and angle $AOB=2$ radian. Find the length of chord $AB$.[Answer up to two decimal places]

The circle has radius $7cm$ and centre $O$. $AB$ is a chord and angle $AOB=2$ radian. Find the perimeter of the minor segment.[Answer up to one decimal places]

$ABCD$ is a rectangle with $AB=5cm$ and $BC= 24cm$. $O$ is the midpoint of $BC$. $OAED$ is a sector of a circle, centre $O$. Find the length of $AO$.

$ABCD$ is a rectangle with $AB=5cm$ and $BC= 24cm$. $O$ is the midpoint of $BC$. $OAED$ is a sector of a circle, centre $O$. Find the angle $AOD$, in radians.[Answer up to two decimal places]

$ABCD$ is a rectangle with $AB=5cm$ and $BC= 24cm$. $O$ is the midpoint of $BC$. $OAED$ is a sector of a circle, centre $O$. Find the perimeter of the shaded region.[Enter up to two decimal places]

The diagram shows a semicircle with radius $10cm$ and centre $O$. Angle $BOC=\theta$ radians. The perimeter of sector $AOC$ is twice the perimeter of sector $BOC$. If $\theta$. in radians is of the form of $\frac{\pi -a}{3}$, then $a=$

The diagram shows a semicircle with radius $10 \mathrm{cm}$ and centre $O$. Angle $BOC=\theta$ radians. The perimeter of sector $AOC$ is twice the perimeter of sector $BOC$. Find the perimeter of the triangle$ABC$.

The diagram shows the cross-section of two cylindrical metal rods of radii$x \mathrm{cm}$ and $y \mathrm{cm}$. A thin band, of length $P \mathrm{cm}$, holds the two rods tightly together. Show that $P=4\sqrt{xy}+\pi (x+y)+2(x-y){\sin }^{-1}\left(\frac{x-y}{x+y}\right)$.