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# The prism has a cross-sectional area in the shape of a sector. Calculate: a. the radius rr cm, b. the cross-sectional area of the prism, c. the total surface area of the prism, d. the volume of the prism

Question
The prism has a cross-sectional area in the shape of a sector. Calculate: a. the radius rr cm,
b. the cross-sectional area of the prism,
c. the total surface area of the prism,
d. the volume of the prism

## Answers (1)

2020-12-25
a. To find r, we need to use the given arc length of 20 cm and the angle of 50∘ that creates the arc. The arc length, s, of a circle is given by the formula $$\displaystyle{s}=θ{360}∘{\left({2}π{r}\right)}$$ where θ is the angle that creates the arc and r is the radius of the circle. We know the arc length is s=20 cm and the angle is θ=50∘. Therefore:
$$\displaystyle{s}={\left( ### Relevant Questions asked 2020-11-08 The shaded sector above covers \(\displaystyle\frac{{1}}{{2}}$$ of the circle. If the radius of the circle above is 3 cm, what is the area of the sector in terms of ππ. A. $$\displaystyle{1.125}π{c}{m}^{{2}}$$
B. $$\displaystyle{14.13}π{c}{m}^{{2}}$$
C. $$\displaystyle{4.5}π{c}{m}^{{2}}$$
D. $$\displaystyle{2.25}π{c}{m}^{{2}}$$
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