Find the length of a circle inscribed in a rhombus with an acute angle of 30 ° and sides of 4 cm.
| June 29, 2021 | education
To find the radius of the inscribed circle, we use the formula: r = 1/2 * a * sin (α), where a is the side, α is the smaller angle.
r = 1/2 * 4 * sin (30) = 1 cm.
The length L of this circle will be equal to:
L = 2 * π * 1 = 6.28 cm.
Answer: The length of the inscribed circle is 6.28 cm.
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