Figure is made from a part of a square and a part of a circle.
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this figure
10
a) what is the perimeter of this
figure, to the nearest unit?

  Perimeter of the given figure will be 38 units.

Given in the question,

Perimeter of a polygon = Measure of the circumference of the polygon

From the figure attached,

Perimeter of the figure = measure of the three straight lines + measure of the circumference of the quarter circle

Measure of linear sides = 5 + 10 + 10 + 5 = 30 units

Circumference of the quarter circle =

                                                           =

                                                           = 7.85 units

Perimeter of the figure = 30 + 7.85

                                      = 37.85

                                      ≈ 38 units

   Therefore, perimeter of the given figure will be 38 units.

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Total perimeter = 38 units.

Total area = 95 sq. units.

Step-by-step explanation:

See the attached figure.

a) The perimeter of the circular portion is one-fourth of the circumference of a full circle.

So, as the radius is 5 units, so the perimeter will be units.

Therefore, the total perimeter will be (10 + 10 + 5 + 5 + 7.857) = 37.857 ≈ 38 units. (Answer)

b) The area of the circular portion is one-fourth of the area of a full circle.

So, area of the circular portion is sq, units.

Therefore, the area of the total figure will be [(5 × 5) + (5 × 5) + (5 × 5) + 19.643] = 94.643 sq. units ≈ 95 sq. units. (Answer)

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Step-by-step explanation: