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ludmilkaskok
1 month ago
10

A circle with radius of \greenD{5\,\text{cm}}5cmstart color #1fab54, 5, start text, c, m, end text, end color #1fab54 sits insid

e a \blueD{11\,\text{cm} \times 11\,\text{cm}}11cm×11cmstart color #11accd, 11, start text, c, m, end text, times, 11, start text, c, m, end text, end color #11accd rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Mathematics
2 answers:
Leona [12.6K]1 month ago
7 0

Response:

The area of the shaded part is 42.50 cm².

Detailed explanation:

Examine the diagram provided.

The circle has a radius of r = 5 cm.

Dimensions of the rectangle are:

l = 11 cm

b = 11 cm.

Calculate the area of the shaded portion as follows:

Area of the shaded region = Area of rectangle - Area of circle

                                             =[l\times b]-[\pi r^{2}]\\\\=[11\times 11]-[3.14\times 5\times 5]\\\\=121-78.50\\\\=42.50

Consequently, the shaded area totals 42.50 cm².

babunello [11.8K]1 month ago
4 0

Response:

50.27 cm

Detailed explanation:

  1. π × 5 × 5 = 25π cm
  2. π × 3 × 3 = 9π cm
  3. 25π - 9π = 16π cm = 50.27 cm
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