A circle with area 36 π has a central angle of 11/6 π radians

33pi or 103.62 square units

Step-by-step explanation:

central \: angle \: ( \theta)  \\ =  \frac{11}{6}  {\pi}^{c}  = \frac{11}{6} \times 180 \degree = 330 \degree  \\  \\ area \: of \: sector  \\ =  \frac{ \theta}{360 \degree}  \times area \: of \: circle \\  \\  = \frac{ 330 \degree}{360 \degree}  \times 36 \: \pi \\  \\  = \frac{ 330 }{10 } \pi \\  \\  =  \red{ \bold{33\pi}} \:  {units}^{2}  \\  = 33 \times 3.14 \\  = 103.62 \: {units}^{2}  \\

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in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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