Work out the sum of the interior angles of this irregular hexagon. Does anyone know ?
2 answers:
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Answer:
254 cm² (to 3 s.f.)
Step-by-step explanation:
Area of shaded region
= area of large circle -area of smaller circle
Radius of large circle= 15cm
Radius of smaller circle= 12cm
Area of shaded region
= π(15²) -π(12²)
= 225π -144π
= 81π
= 81(3.14)
= 254.34
= 254 cm² (3 s.f.)
Answer:
Th correct option is D. 13
Therefore the value of x is 13.
Step-by-step explanation:
Given:
measure of an intercepted arc = 86°
Center Angle = 86°
measure of the inscribed angle creating the intercepted arc= (3x+4)°
Angle Inscribed in arc = (3x+4)°
To Find:
value of x = ?
Solution:
Inscribed Angle Theorem:
The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Substituting the values we get
Therefore the value of x is 13.
Given:
The ratio is .
To find:
Inverse tangent of the given ratio.
Solution:
We know that,
Inverse tangent of the ratio =
=
Using scientific or graphing calculator, we get
Inverse tangent of the ratio =
Round to the nearest degree
Inverse tangent of the ratio
Therefore, the correct option is C.