Calculate the area of: a an isosceles triangle with equal sides of length 21 cm and an included angle of 49° an equilateral triangle with sides of length 57 cm.

Q: 13. What is the area of the sector if a circle has a central angle measurement of and a radius of 4…

A: Follow the procedure given below.

Q: Use Heron's Formula to find the exact area of a triangle that has lengths of sides 4 cm, 13 cm, and…

A: Given: The lengths of sides of a triangle are 4 cm, 13 cm, 15 cm. The area of the triangle can be…

Q: A kite has two pairs of adjacent sides of 7 ft and 12 ft respectively, where two opposite angles…

A:

Q: Find the area of a triangle with sides of length 9 and 13 and included angle 56°.

A:

Q: 5. Find the area of a circular sector with a central angle of 330° and a radius of 8 inch

A:

Q: A parallelogram has adjacent sides of length 4 cm and 6 cm. If the included angle measures 52°, find…

A: We use Trigonometry ratios  Area of parallelogram = Base X Height

Q: What is the area of a triangle with sides of length a and b and with included angle u?

A:

Q: (a) What is the area of a triangle with sides of length a and band with included angle u?(b) What is…

A: a) Find the area of triangle with sides a and b and included angle u. b) Find the area with sides,…

Q: The approximate area of a triangle with sides of lengths 3 in., 5 in., and 6 in. is 7.48 in². What…

A: given: the approximate area of a triangle with sides of lengths 3in. , 5in. ,and 6 in. is 7.48 in.2…

Q: what is the area of the entire figure?

A:

Q: Consider a 72° angle inscribed in the centre of a circle with radius 10cm. (a) What is the length of…

A:

Q: If AC = 5 ft and Base BC = 3 ft: %3D 1. What is the area of the blue shaded А region with in the…

A: The objective is to find the area of the blue shaded region in the circle.

Q: What is the radius of a sector of a circle with a central angle of measure 36° and whose area is O O…

A:

Q: Given a circular arc with the length of 3 km. subtends a central angle of 20 degrees. What is the…

A:

Q: .) A regular pentagon has a radius of 8 ft area?

A: The radius of a regular pentagon r= 8 ft.

Q: Can a cube of volume 5 be constructed using only an unmarked straight- edge, a compass, and a unit…

A:

Q: calculate the area of a triangle given two sides and the included angle.

A: The sine of the angle between two lines gives the length of the third side. In  a triangle area is…

Q: A pilot is flying over a straight angles of depression to two mil 38° and 42°, as shown in the fi

A: The flight path of the plane and the highway would be parallel, thus angle A would be the alternate…

Q: Does a rectangle have (a) an incenter? (b) a circumcenter?

A: Given, Does a rectangle have an incenter? The incircle is the circle lies inside the certain…

Q: Given is parallelogram arch as shown in the figure 2 below. Calculate its area in m?. 4 cm 10 cm

A: Area of parallelogram = b*h

Q: Estimate the error made in calcutating the area of the triangle ABC in which the sides a and b are…

A: Given: sides a= 25 cm and b= 16 cm  Angle C =60°=60°π180°=π3 Error in angle C is ∂c=12°×π180°=π360

Q: A car is travelling around a circular road whose diameter is 20 m. If the distance traveled by the…

A:

Q: Find the area of a triangle with sides of length 14 and 20 and included angle 16° (Round to the…

A: Recall:  Area of triangle= 12ab sinθ a and b are sides of the triangle and θangle between them

Q: Find the area of a sector with a radius of 10 cm and a central angle of 135°

A: A sector is a plane figure with three sides, out of which two sides are line segments and one side…

Q: Find the area of a parallelogram that has pairs of sides of lengths 3 and 12, with an angle of π/3…

A:

Q: Find the area of a triangular (in square meters) lot having two side of lengths 10om and 50m and…

A:

Q: Find the length of the curved part of a circular sector with a radius of 8 cm and a central angle of…

A: The length of the curved part of a circular sector   S=r·θ ; Where  r  be the radius of the circle…

Q: Find the area of a triangle having two sides of lengths 8 meters and 12 meters and an included angle…

A: Triangle: Length of two sides of a triangle are 8m and 12m. The included angle is 1350 Let a=12m…

Q: What is the area of the sector of a circle whose radius is 5 cm and has a central angle of 120…

A:

Q: A circle is inscribed in a triangle having sides of lengths 6 in., 8 in., and 10 in. If the length…

A: Given that, the lengths of sides of a triangle are 6 in., 8 in. and 10 in. Let the sides of the…

Q: 8 cm 50

A:

Q: The region interior to a central angle is called a __________.

A: Given: The region interior to a central angle is called a __________.

Q: Find the length of the arc and area of the sector for a central angle of 120◦ inscribed in a 9cm…

A: From the given information, it is observed that θ=120° and r=9 cm. It is known that, the formula to…

Q: Determine the smallest interior angle in triangle whose sides are 16 cm, 24 cm and 12 cm long

A: Given that:The sides of a triangle are:       16cm, 24cm , 12cm

Q: Use the Babylonian's formula to calculate the circumferenice of a circle with diameter of 6 units.

A: According to Babylonian's formula  A = 112C2   ; where A is the area and C is the circumference  So…

Q: 10. What is the area of a sector, in terms of n, with a central angle of and a diameter of 16 cm?

A:

Q: I need help finding another angle or side. Any help is appreciated.

A:

Q: Find the area of a hemisphere of radius R.

A: A hemisphere is obtained from a sphere by cutting in between in two equal parts. Since the half…

Q: 7. Find the area of a sector of a circle with central angle of A if the diameter of the circle is 9…

A:

Q: What is the numerical value of the area of Triangle ABC?

A: Given, We can see coordinates of A(1,1) , B(5,1) and C(3,4)

Q: The top and bottom ends of a wind- shield wiper blade are 34 in. and 14 in., respectively, from the…

A: It is given that the top and bottom ends of a wind shield wiper blade are 34 in. and 14 in. So,…

Q: The area of a circle is 225TTTT in?. What is its radius?

A: Given area of the circle 225π in2 To find the radius of the circle

Q: State the formula for the area of a triangle given two sides and theincluded angle.

A: Our Aim is to state the formula for the area of a triangle given two sidesand included angle.

Q: The perimeter of the circular sector with radius 18 cm and central angle 120 degrees is

A:

Q: what is the radius of a circle that has a sector area of 3π cm2 and a central angle of 120°?

A:

Q: Calculate the angle of a circular sector having an area equal to 1/8 of the area of ​​the circle

A: Lets assume radius of a circle is r. So area of a circle Ac=πr2 And area of a sector As=πr2θ360 Need…

Q: Find the area of the figure. (Sides meet at right angles.) 12 in 9 in 4 in þ in 4 in 4 in 4 in 4 in…

A:

Q: Find the area of a triangular lot having two sides of lengths 90 meters and 52 meters and an…

A:

Q: What is the angle in degress subtended by a sector  with an area od 39.27cm² and a

A: let θ be the angle subtended by the sector the area of the sector is given by area of sector…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.