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Chapter 1: Q20. (page 25)

Find the perimeter of the figure. Round to the nearest tenth.

Short Answer

Expert verified

The perimeter of the given figure is 14.3 m.

Step by step solution

01

Step 1. Given information.

In the figure, the diameter of the semi-circle is 4m and the other two sides of the right-angled triangle are 5m and 3m.

02

Step 2. Concept used.

Circumference of a semi-circle with diameter d is given by C=蟺d2.

Perimeter of a figure is given by sum of all sides of the figure.

03

Step 3. Calculations.

The circumference of semi-circle is

C=3.14脳42=3.14脳2=6.28m

Here, the perimeter of the given figure is equal to the sum of circumference and two sides of the triangle.

P=6.28+5+3=14.28m

Rounding off to the nearest tenth, we get,

P=14.3m

Thus, the perimeter of the figure is 14.3m.

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