Exercises for Activity #2 Name Given the area of a spherical triangle is A = ( +

Question

Exercises for Activity #2 Name Given the area of a spherical triangle is A = ( + + y-r), r2 AL1 Given a sphere with radius 10 cm, what is the area of a triangle on the sphere whose angles measure 3/5, 2/5' and 3/102 Given a spherical triangle whose area is 100 in 2 and whose angles measure /6, 3/4 , and /3, find the radius of its sphere A1.2 A1.3 Given a sphere with radius 6 m, what is the area of a triangle on the sphere whose angles measure 100°, 75°, and 40°? Find the area of an equilateral spherical triangle on a sphere of radius 25 ft if each angle measures A1.4 or 60° A1.5 or 90 3 4 A1.6 O or 135° A1,7 or 210 A1.8 Find the area of an equilateral and equiangular quadrilateral on a sphere if each of its angles measure 110° and the radius of its sphere is 1 km A1.9 Find the area of a 'kite' shaped quadrilateral on a sphere of radius 10 mí if its four angles are 2,56, /2.and 3 Find the measure of the angles of an equilateral triangle on a sphere if the area on the triangle is a fourth of the area of the sphere. AL10

Explanation / Answer

1) area = ( 3pi/5 + 2pi/5 + 3pi/10 - pi ) * 10^2

area = ( pi + 3pi/10 - pi ) * 10^2

area = 30pi

2) area = 100pi in^3

area = ( pi/6 + 3pi/4 + pi/3 - pi ) * r^2

100 = pi/4 r^2

r^2 = 100 * 4 / pi

r = 11.29 in

3) area = ( 100 + 75 + 40 - 180 ) * 6^2

area = 1260 m^2

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.