Area of the sector = 1/2 * r^2 * theta where theta is the angle subtended by the arc at the center ( in radians)
In this case m < theta = 360 - 235 = 125 degrees or 2.182 radians
So, the area of shaded area = 1/2 * 20^2 * 2.182 = 436.4 in^2
ANSWER: x = 130°
EXPLANATION: You must add given angles and then subtract from 180°.
Answer:
Due to there being no negatives in this equation, you can pretty much just eliminate the first 3 answers.
However in working out, here is what I did.
x^2 + x - 30 = 12 (+30)
= x^2 + x = 42
Then you can conclude that the answer is D, due to 6 x 6 = 36, plus 7 equaling 42.
Width of the reactangle = 38 cm
Minimum perimeter = 692 cm
Let the length of the rectangle be x cm
We know that,
Perimeter of rectangle = 2 * (length + width)
Since the perimeter should be atleast 692 cm. Therefore,
2 * (x + 38) > 692
2x + 76 > 692
2x > 692 - 76
2x > 616
x >
x > 308
Hence, the length of the rectangle should be more that 308 cms.