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sweet [91]
3 years ago
8

3. Find the area of the shaded region. Leave your answer in terms of pi. (1 point)

Mathematics
1 answer:
anygoal [31]3 years ago
5 0

ANSWER

B.

(4 - \pi) {ft}^{2}

EXPLANATION

The area of the square is

{l}^{2}

The length of the square is

l = 2ft

The area of the square is

=  {2}^{2}  = 4 {ft}^{2}

Area of the circle is

= \pi \:  {r}^{2}

The radius of the circle is

r =  \frac{2}{2}  = 1ft

Area of circle is

= \pi \:  \times  {1}^{2}  = \pi {ft}^{2}

The area of the shaded region is

= (4 - \pi) {ft}^{2}

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Simple and easy question<br> please help
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Answer:

Total volume of the figure = 1067 cm³

Step-by-step explanation:

Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid

Volume of the rectangular prism = Length × Width × Height

                                                      = 10 × 10 × 7

                                                       = 700 cm³

Volume of the square pyramid = \frac{1}{3}(\text{Area of the base})\times (\text{height})

                                                   = \frac{1}{3}(\text{Side})^2 × height

                                                   = \frac{1}{3}(10)^2(18-7)

                                                   = 366.67 cm³

Total volume of the composite figure = 700 + 366.67 = 1066.67 cm³

                                                                                          ≈ 1067 cm³

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