# Math

An oblique triangle is inscribed in a circle. If one side of the triangle having a length of 10 cm and the angle subtended to that side is 20. Determine the area of the circle.

1. 👍 1
2. 👎 1
3. 👁 1,376
1. if you mean the angle is 20°, then the radius r of the circle can be found using'

5/r = sin10°

Now you know r, so you can find the area of the circle...

1. 👍 0
2. 👎 1
2. 10/d=sin(20)
A=(pi(d)2)/4
ans.A=671.4 sq. unit

1. 👍 0
2. 👎 0
3. The solutions above are wrong.
sin A = opposite / hypotenuse

We know the angle A = 20 and hypotenuse = 10 cm
Therefore:

Sin 20 = O/ 10
O =3.42 cm

Since circle is inscribed in the triangle, the opposite side is the diameter. D = 3.42 cm so it makes R = 1.71 cm

Area of circle is pi * r²
A = 9.18 cm²

1. 👍 0
2. 👎 1

## Similar Questions

1. ### Math HELP

#1 find the value of x if RS = 4(x-3)+6 and RT = 5(2x-6). x= 12 x= 6 x= 4*** x= 3 #2 which of the following statements are always true? Choose all that apply. If the circumcenter of a triangle lies on the triangle, then the

2. ### math

The triangle inscribed within square ABCD has, as its base, side AD, and has a height of 6 cm. If the area of the triangle is 21 cm2, what is the area of the shaded region?

3. ### math

an equilateral triangle of side 20cm is inscribed in a circle calculate the distance of a side of the triangle from the centre of the circle

4. ### math

An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 10 more than four times the length of the bottom of the triangle. The last

1. ### geometry

The perimeter of a triangle, its area, and the radius of the circle inscribed in the triangle are related in an interesting way. Prove that the radius of the circle times the perimeter of the triangle equals twice the area of the

2. ### geometry

An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the

3. ### geometry

An isosceles triangle has two 10.0-inch sides and a 2w-inch side. Find the radius of the inscribed circle of this triangle, in the cases w = 5.00, w = 6.00, and w = 8.00. Then Write an expression for the inscribed radius r in

4. ### Geometry

Which step is the same when constructing an inscribed square and an inscribed equilateral triangle? A.Connect every arc along the circle. B.Construct a circle of any arbitrary radius. C.Set the compass width to greater than half

1. ### geometry

A 30-60-90 triangle is inscribed in a circle. The length of the hypotenuse is 12 inches. If a coin is tossed on the figure, what is the probability that the coin will land in the circle, but outside the triangle?

2. ### math

an equilateral triangle of side 10cm is inscribed in a circle. find the radius of the circle? show the solution

3. ### math

An equilateral triangle is inscribed in a circle. The radius of the circle is 21 in. Determine the side length of the triangle to the nearest 10th of an inch

4. ### Math

Check my answers please? There are only 10 The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X: The