9. Draw the polar curve defined by r = 4 - 2 cos 30. 10. Convert the polar equation to rectangular form. Simplify your answer r²csc ³0 = r² cot²0 csc 0 +2rsec²0 3. A big circle is inscribed in a square. A small circle is tangent to the big circle and to two sides of the square. If the diagonal of the square is 2 cm, what is the exact area of the small circle? 4. A frustum of a regular pyramid with central angle is inscribed in a frustum of a cone whose height and slant height are 12 and 13 respectively. Find the exact volume of the frustum of the pyramid if the volume and total area of the frustum of the cone are 7007 and 320m, respectively. Draw the frustums.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter88: Achievement Review—section Nine
Section: Chapter Questions
Problem 7AR: The following figure shows four equally spaced holes on a bolt circle circumference. Give the polar...
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9. Draw the polar curve defined by r = 4 – 2 cos 30.
10. Convert the polar equation to rectangular form. Simplify your answer
r?csc°0 = r?cot20 csc e + 2rsec2e
3. A big circle is inscribed in a square. A small circle is tangent to the big circle and to two
sides of the square. If the diagonal of the square is 2 cm, what is the exact area of the small
circle?
4. A frustum of a regular pyramid with central angle is inscribed in a frustum of a cone
whose height and slant height are 12 and 13 respectively. Find the exact volume of the
frustum of the pyramid if the volume and total area of the frustum of the cone are 700n and
320, respectively. Draw the frustums.
Transcribed Image Text:9. Draw the polar curve defined by r = 4 – 2 cos 30. 10. Convert the polar equation to rectangular form. Simplify your answer r?csc°0 = r?cot20 csc e + 2rsec2e 3. A big circle is inscribed in a square. A small circle is tangent to the big circle and to two sides of the square. If the diagonal of the square is 2 cm, what is the exact area of the small circle? 4. A frustum of a regular pyramid with central angle is inscribed in a frustum of a cone whose height and slant height are 12 and 13 respectively. Find the exact volume of the frustum of the pyramid if the volume and total area of the frustum of the cone are 700n and 320, respectively. Draw the frustums.
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