We know that, a circle's diameter is equal to twice its radius. We will now determine the radius of the circle:-
2r = 8
r = 8/2
∴ r = 4 cm
Steps of construction:-
Step 1 - We'll start by drawing a circle with a 4 cm radius. We'll grab a scale and open the compass open by 4 cm. We will create the circle and select a centre for it. By drawing a line across the centre of the circle, we will also be able to determine its diameter.
Step 2 - Tangents at the point of contact are known to be perpendicular to the radius. Right angles will be created at points C and B. Using a compass, we will create a tiny semicircle with C at the centre.
Step 3 - We'll take point D as the centre and keep with the same radius that we used when we drew the semicircle. The semicircle will be intersected at point H by an arc that we shall draw. This arc will signify a 60° angle.
Step 4 - We'll take point E as the centre and keep with the same radius that we used when we drew the semicircle. The semicircle will be intersected at point K by an arc that we shall draw. This arc will stand in for a 120° angle.
Step 5 - We will draw an arc with H as the centre and an arc with K as the centre using the same radius. The intersection of these arcs will be designated as P.
Step 6 - The line segment will be extended by connecting locations P and C. This line will be the circle's tangent at point C.
Step 7 - Following the same steps as previously, we will draw a tangent at point B.
Answers & Comments
Verified answer
Steps of construction :
1) Draw a line segment OA=8 cm.
2) O as centre and radius 4 cm draw a circle.
3) Making OA as diameter draw another circle which intersects the given circle at B and C.
4) Join A to B and A to C.
Result : AB and AC are required tangents.
∴AB = AC = 5.9 cm
Answer:
Given:-
Diameter = 8 cm
We know that, a circle's diameter is equal to twice its radius. We will now determine the radius of the circle:-
2r = 8
r = 8/2
∴ r = 4 cm
Steps of construction:-
Step 1 - We'll start by drawing a circle with a 4 cm radius. We'll grab a scale and open the compass open by 4 cm. We will create the circle and select a centre for it. By drawing a line across the centre of the circle, we will also be able to determine its diameter.
Step 2 - Tangents at the point of contact are known to be perpendicular to the radius. Right angles will be created at points C and B. Using a compass, we will create a tiny semicircle with C at the centre.
Step 3 - We'll take point D as the centre and keep with the same radius that we used when we drew the semicircle. The semicircle will be intersected at point H by an arc that we shall draw. This arc will signify a 60° angle.
Step 4 - We'll take point E as the centre and keep with the same radius that we used when we drew the semicircle. The semicircle will be intersected at point K by an arc that we shall draw. This arc will stand in for a 120° angle.
Step 5 - We will draw an arc with H as the centre and an arc with K as the centre using the same radius. The intersection of these arcs will be designated as P.
Step 6 - The line segment will be extended by connecting locations P and C. This line will be the circle's tangent at point C.
Step 7 - Following the same steps as previously, we will draw a tangent at point B.
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