Answer: the exact perimeter of the figure is 53.68 cm
Step-by-step explanation:
The angle formed by the shaded sector is
360 - 90 = 270 degrees
We would determine the length of the arc formed by the shaded portion by applying the formula for length of arc which is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 8 cm
θ = 270 degrees
Length of arc = 270/360 × 2 × 3.14 × 8
= 37.68 cm
Perimeter of the figure is
Length of arc + radius + radius
It becomes
37.68 + 8 + 8 = 53.68 cm
An equation is formed of two equal expressions. The value of 'a' in the given equation is 6.452.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation can be solved for 'a' as shown below,
0.75a = 10 - 0.8a
0.75a + 0.8a = 10
1.55a = 10
a = 6.452
Hence, the value of 'a' in the given equation is 6.452.
Learn more about Equation:
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Answer:
Step-by-step explanation:
15- 17 = a
-2 = a
B = -8.3
c = 3/4 - 13/4
c = -10/4
c = -5/2
