Question

#7a & b

7. A regular pentagon is inscribed in a circle with radius 10 cm. A a) (4pt) Find the length of arc AC. Include units S=er So T25 S30 6 10am b) (4pt) Find the area of sector AOC. Include units. A=re 25 cm2 D 3 45 lutions per second. 12 f25 8. A Ferris 10 +sS l

Answer 1

Solution Sale is a dreguler pentagon, So, Total angle = in 2)x180" - 5 = (5-2)x180 7540 - (a) Now, from AC arc, (al is ning are) de 20 X Crcunference of 540° - 2x x 200 540 Now, a = sant = 108° / seme. it is a orguei pentergon

a circle But we know, Pentagon is inscribed in So, Tutal angle = 360 30,= 30.79

So, tength of 2010 ml = 2x72 x 217 x 10 360° - 180 cm a 25.12Com º no ea con secton AOC= 71012x 221 360 = 100 x 2x72 71 360 = 1401 6.2 ms