A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal parts. Find the total length of the silver wire required.
Answers
Answer:
Step-by-step explanation:
Number of diameters = 5
Length of diameter = 35 mm
∴ Radius = 35/2 mm
(i) Total length of silver wire required = Circumference of the circle + Length of 5 diameter
= 2π r + (5×35) mm = (2 × 22/7 × 35/2) + 175 mm
= 110 + 175 mm = 185 mm
(ii) Number of sectors = 10
Area of each sector = Total area/Number of sectors
Total Area = π r2 = 22/7 × (35/2)2 = 1925/2 mm2
∴ Area of each sector = (1925/2) × 1/10 = 385/4 mm2
Answer:
285mm
Step-by-step explanation:
d = 35 cm
length of wire used = 2 pi r +(5)(35)
= 2 (22/7)( 35/2) +175
= 110 + 175
= 285mm